Type a math problem
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Solve for x
x = \frac{79}{15} = 5\frac{4}{15} \approx 5.266666667
Steps for Solving Linear Equation
\frac { 5 x - 1 } { 5 } - \frac { 1 + x } { 2 } = 3 - \frac { x - 1 } { 4 }
Multiply both sides of the equation by 20, the least common multiple of 5,2,4.
Multiply both sides of the equation by , the least common multiple of .
4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)
Use the distributive property to multiply 4 by 5x-1.
Use the distributive property to multiply by .
20x-4-10\left(1+x\right)=60-5\left(x-1\right)
Use the distributive property to multiply -10 by 1+x.
Use the distributive property to multiply by .
20x-4-10-10x=60-5\left(x-1\right)
Subtract 10 from -4 to get -14.
Subtract from to get .
20x-14-10x=60-5\left(x-1\right)
Combine 20x and -10x to get 10x.
Combine and to get .
10x-14=60-5\left(x-1\right)
Use the distributive property to multiply -5 by x-1.
Use the distributive property to multiply by .
10x-14=60-5x+5
Add 60 and 5 to get 65.
Add and to get .
10x-14=65-5x
Add 5x to both sides.
Add to both sides.
10x-14+5x=65
Combine 10x and 5x to get 15x.
Combine and to get .
15x-14=65
Add 14 to both sides.
Add to both sides.
15x=65+14
Add 65 and 14 to get 79.
Add and to get .
15x=79
Divide both sides by 15.
Divide both sides by .
x=\frac{79}{15}
Graph
Graph Both Sides in 2DGraph 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
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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