Solve for x
x=-5
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3-2-\left(-x\right)-\left(5x+6\right)-7=8
To find the opposite of 2-x, find the opposite of each term.
3-2+x-\left(5x+6\right)-7=8
The opposite of -x is x.
1+x-\left(5x+6\right)-7=8
Subtract 2 from 3 to get 1.
1+x-5x-6-7=8
To find the opposite of 5x+6, find the opposite of each term.
1-4x-6-7=8
Combine x and -5x to get -4x.
-5-4x-7=8
Subtract 6 from 1 to get -5.
-12-4x=8
Subtract 7 from -5 to get -12.
-4x=8+12
Add 12 to both sides.
-4x=20
Add 8 and 12 to get 20.
x=\frac{20}{-4}
Divide both sides by -4.
x=-5
Divide 20 by -4 to get -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}