Solve for x

x=11

$x=11$

Graph

Graph Both Sides in 2D

Graph in 2D

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-6-x=4x-12-7\left(x-4\right)

Use the distributive property to multiply 4 by x-3.

-6-x=4x-12-7x+28

Use the distributive property to multiply -7 by x-4.

-6-x=-3x-12+28

Combine 4x and -7x to get -3x.

-6-x=-3x+16

Add -12 and 28 to get 16.

-6-x+3x=16

Add 3x to both sides.

-6+2x=16

Combine -x and 3x to get 2x.

2x=16+6

Add 6 to both sides.

2x=22

Add 16 and 6 to get 22.

x=\frac{22}{2}

Divide both sides by 2.

x=11

Divide 22 by 2 to get 11.

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 $