Solve for x
x=-3
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3-8-\left(-2x\right)+4x=5x+2\left(x-1\right)
To find the opposite of 8-2x, find the opposite of each term.
3-8+2x+4x=5x+2\left(x-1\right)
The opposite of -2x is 2x.
-5+2x+4x=5x+2\left(x-1\right)
Subtract 8 from 3 to get -5.
-5+6x=5x+2\left(x-1\right)
Combine 2x and 4x to get 6x.
-5+6x=5x+2x-2
Use the distributive property to multiply 2 by x-1.
-5+6x=7x-2
Combine 5x and 2x to get 7x.
-5+6x-7x=-2
Subtract 7x from both sides.
-5-x=-2
Combine 6x and -7x to get -x.
-x=-2+5
Add 5 to both sides.
-x=3
Add -2 and 5 to get 3.
x=-3
Multiply both sides by -1.
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}