Solve for x
x=-\frac{1}{2}=-0.5
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12x-\left(5-8x\right)+15=0
Multiply both sides of the equation by 3.
12x-5-\left(-8x\right)+15=0
To find the opposite of 5-8x, find the opposite of each term.
12x-5+8x+15=0
The opposite of -8x is 8x.
20x-5+15=0
Combine 12x and 8x to get 20x.
20x+10=0
Add -5 and 15 to get 10.
20x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-10}{20}
Divide both sides by 20.
x=-\frac{1}{2}
Reduce the fraction \frac{-10}{20} to lowest terms by extracting and canceling out 10.
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}