Solve for x
x=10
Graph
Share
Copied to clipboard
3\left(\frac{1}{2}x+5\right)=2\left(x+5\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+5\right), the least common multiple of x+5,3.
\frac{3}{2}x+15=2\left(x+5\right)
Use the distributive property to multiply 3 by \frac{1}{2}x+5.
\frac{3}{2}x+15=2x+10
Use the distributive property to multiply 2 by x+5.
\frac{3}{2}x+15-2x=10
Subtract 2x from both sides.
-\frac{1}{2}x+15=10
Combine \frac{3}{2}x and -2x to get -\frac{1}{2}x.
-\frac{1}{2}x=10-15
Subtract 15 from both sides.
-\frac{1}{2}x=-5
Subtract 15 from 10 to get -5.
x=-5\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=10
Multiply -5 and -2 to get 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}