Solve for x
x = \frac{22}{5} = 4\frac{2}{5} = 4.4
x = -\frac{8}{5} = -1\frac{3}{5} = -1.6
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|12-8x-2\left(x-1\right)|=30
Use the distributive property to multiply 4 by 3-2x.
|12-8x-2x+2|=30
Use the distributive property to multiply -2 by x-1.
|12-10x+2|=30
Combine -8x and -2x to get -10x.
|14-10x|=30
Add 12 and 2 to get 14.
|-10x+14|=30
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
-10x+14=30 -10x+14=-30
Use the definition of absolute value.
-10x=16 -10x=-44
Subtract 14 from both sides of the equation.
x=-\frac{8}{5} x=\frac{22}{5}
Divide both sides by -10.
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}