Solve for x
x = -\frac{15}{8} = -1\frac{7}{8} = -1.875
Graph
Share
Copied to clipboard
2x-3-12=2\times 5x
Multiply both sides of the equation by 6, the least common multiple of 6,3.
2x-15=2\times 5x
Subtract 12 from -3 to get -15.
2x-15=10x
Multiply 2 and 5 to get 10.
2x-15-10x=0
Subtract 10x from both sides.
-8x-15=0
Combine 2x and -10x to get -8x.
-8x=15
Add 15 to both sides. Anything plus zero gives itself.
x=\frac{15}{-8}
Divide both sides by -8.
x=-\frac{15}{8}
Fraction \frac{15}{-8} can be rewritten as -\frac{15}{8} by extracting the negative sign.
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}