Solve for x
x=-3
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7x-7-2\left(x-6\right)=4\left(x-5\right)-2\left(x-8\right)
Use the distributive property to multiply 7 by x-1.
7x-7-2x+12=4\left(x-5\right)-2\left(x-8\right)
Use the distributive property to multiply -2 by x-6.
5x-7+12=4\left(x-5\right)-2\left(x-8\right)
Combine 7x and -2x to get 5x.
5x+5=4\left(x-5\right)-2\left(x-8\right)
Add -7 and 12 to get 5.
5x+5=4x-20-2\left(x-8\right)
Use the distributive property to multiply 4 by x-5.
5x+5=4x-20-2x+16
Use the distributive property to multiply -2 by x-8.
5x+5=2x-20+16
Combine 4x and -2x to get 2x.
5x+5=2x-4
Add -20 and 16 to get -4.
5x+5-2x=-4
Subtract 2x from both sides.
3x+5=-4
Combine 5x and -2x to get 3x.
3x=-4-5
Subtract 5 from both sides.
3x=-9
Subtract 5 from -4 to get -9.
x=\frac{-9}{3}
Divide both sides by 3.
x=-3
Divide -9 by 3 to get -3.
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}