Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
Graph
Share
Copied to clipboard
15-5x-8=19+3x
To find the opposite of 5x+8, find the opposite of each term.
7-5x=19+3x
Subtract 8 from 15 to get 7.
7-5x-3x=19
Subtract 3x from both sides.
7-8x=19
Combine -5x and -3x to get -8x.
-8x=19-7
Subtract 7 from both sides.
-8x=12
Subtract 7 from 19 to get 12.
x=\frac{12}{-8}
Divide both sides by -8.
x=-\frac{3}{2}
Reduce the fraction \frac{12}{-8} to lowest terms by extracting and canceling out 4.
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}