Solve for x
x=-4
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8-\left(3x-5x-3\right)=6x-\left(4x-7+x\right)
To find the opposite of 5x+3, find the opposite of each term.
8-\left(-2x-3\right)=6x-\left(4x-7+x\right)
Combine 3x and -5x to get -2x.
8-\left(-2x\right)-\left(-3\right)=6x-\left(4x-7+x\right)
To find the opposite of -2x-3, find the opposite of each term.
8+2x-\left(-3\right)=6x-\left(4x-7+x\right)
The opposite of -2x is 2x.
8+2x+3=6x-\left(4x-7+x\right)
The opposite of -3 is 3.
11+2x=6x-\left(4x-7+x\right)
Add 8 and 3 to get 11.
11+2x=6x-\left(5x-7\right)
Combine 4x and x to get 5x.
11+2x=6x-5x-\left(-7\right)
To find the opposite of 5x-7, find the opposite of each term.
11+2x=6x-5x+7
The opposite of -7 is 7.
11+2x=x+7
Combine 6x and -5x to get x.
11+2x-x=7
Subtract x from both sides.
11+x=7
Combine 2x and -x to get x.
x=7-11
Subtract 11 from both sides.
x=-4
Subtract 11 from 7 to get -4.
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
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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}