Type a math problem

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Type a math problem

Solve for x

x = \frac{79}{15} = 5\frac{4}{15} \approx 5.266666667

$x=1579 =5154 ≈5.266666667$

Steps for Solving Linear Equation

\frac { 5 x - 1 } { 5 } - \frac { 1 + x } { 2 } = 3 - \frac { x - 1 } { 4 }

$55x−1 −21+x =3−4x−1 $

Multiply both sides of the equation by 20, the least common multiple of 5,2,4.

Multiply both sides of the equation by $20$, the least common multiple of $5,2,4$.

4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)

$4(5x−1)−10(1+x)=60−5(x−1)$

Use the distributive property to multiply 4 by 5x-1.

Use the distributive property to multiply $4$ by $5x−1$.

20x-4-10\left(1+x\right)=60-5\left(x-1\right)

$20x−4−10(1+x)=60−5(x−1)$

Use the distributive property to multiply -10 by 1+x.

Use the distributive property to multiply $−10$ by $1+x$.

20x-4-10-10x=60-5\left(x-1\right)

$20x−4−10−10x=60−5(x−1)$

Subtract 10 from -4 to get -14.

Subtract $10$ from $−4$ to get $−14$.

20x-14-10x=60-5\left(x-1\right)

$20x−14−10x=60−5(x−1)$

Combine 20x and -10x to get 10x.

Combine $20x$ and $−10x$ to get $10x$.

10x-14=60-5\left(x-1\right)

$10x−14=60−5(x−1)$

Use the distributive property to multiply -5 by x-1.

Use the distributive property to multiply $−5$ by $x−1$.

10x-14=60-5x+5

$10x−14=60−5x+5$

Add 60 and 5 to get 65.

Add $60$ and $5$ to get $65$.

10x-14=65-5x

$10x−14=65−5x$

Add 5x to both sides.

Add $5x$ to both sides.

10x-14+5x=65

$10x−14+5x=65$

Combine 10x and 5x to get 15x.

Combine $10x$ and $5x$ to get $15x$.

15x-14=65

$15x−14=65$

Add 14 to both sides.

Add $14$ to both sides.

15x=65+14

$15x=65+14$

Add 65 and 14 to get 79.

Add $65$ and $14$ to get $79$.

15x=79

$15x=79$

Divide both sides by 15.

Divide both sides by $15$.

x=\frac{79}{15}

$x=1579 $

Graph

Graph Both Sides in 2D

Graph in 2D

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4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)

Multiply both sides of the equation by 20, the least common multiple of 5,2,4.

20x-4-10\left(1+x\right)=60-5\left(x-1\right)

Use the distributive property to multiply 4 by 5x-1.

20x-4-10-10x=60-5\left(x-1\right)

Use the distributive property to multiply -10 by 1+x.

20x-14-10x=60-5\left(x-1\right)

Subtract 10 from -4 to get -14.

10x-14=60-5\left(x-1\right)

Combine 20x and -10x to get 10x.

10x-14=60-5x+5

Use the distributive property to multiply -5 by x-1.

10x-14=65-5x

Add 60 and 5 to get 65.

10x-14+5x=65

Add 5x to both sides.

15x-14=65

Combine 10x and 5x to get 15x.

15x=65+14

Add 14 to both sides.

15x=79

Add 65 and 14 to get 79.

x=\frac{79}{15}

Divide both sides by 15.

Examples

Quadratic equation

{ x } ^ { 2 } - 4 x - 5 = 0

$x_{2}−4x−5=0$

Trigonometry

4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

Matrix

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \right]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $

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