Solve for x

x = -\frac{24}{5} = -4\frac{4}{5} = -4.8

$x=−524 =−454 =−4.8$

Graph

Graph Both Sides in 2D

Graph in 2D

Quiz

Linear Equation

5 problems similar to:

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

$3x +1=2−x −3$

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2x+6=3\left(-x\right)-18

Multiply both sides of the equation by 6, the least common multiple of 3,2.

2x+6-3\left(-x\right)=-18

Subtract 3\left(-x\right) from both sides.

2x+6-3\left(-1\right)x=-18

Multiply -1 and 3 to get -3.

2x+6+3x=-18

Multiply -3 and -1 to get 3.

5x+6=-18

Combine 2x and 3x to get 5x.

5x=-18-6

Subtract 6 from both sides.

5x=-24

Subtract 6 from -18 to get -24.

x=\frac{-24}{5}

Divide both sides by 5.

x=-\frac{24}{5}

Fraction \frac{-24}{5}\approx -4.8 can be rewritten as -\frac{24}{5}=-4.8 by extracting the negative sign.

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 $