Solve for x
x=-9
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7x-56-8\left(x-7\right)=x+7-\left(x-2\right)
Use the distributive property to multiply 7 by x-8.
7x-56-8x+56=x+7-\left(x-2\right)
Use the distributive property to multiply -8 by x-7.
-x-56+56=x+7-\left(x-2\right)
Combine 7x and -8x to get -x.
-x=x+7-\left(x-2\right)
Add -56 and 56 to get 0.
-x=x+7-x-\left(-2\right)
To find the opposite of x-2, find the opposite of each term.
-x=x+7-x+2
The opposite of -2 is 2.
-x=7+2
Combine x and -x to get 0.
-x=9
Add 7 and 2 to get 9.
x=-9
Multiply both sides by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}