Solve for x
x=-10
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3\times 3\left(x+5\right)-3\left(x+5\right)=2\left(2x+5\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9\left(x+5\right)-3\left(x+5\right)=2\left(2x+5\right)
Multiply 3 and 3 to get 9.
9x+45-3\left(x+5\right)=2\left(2x+5\right)
Use the distributive property to multiply 9 by x+5.
9x+45-3x-15=2\left(2x+5\right)
Use the distributive property to multiply -3 by x+5.
6x+45-15=2\left(2x+5\right)
Combine 9x and -3x to get 6x.
6x+30=2\left(2x+5\right)
Subtract 15 from 45 to get 30.
6x+30=4x+10
Use the distributive property to multiply 2 by 2x+5.
6x+30-4x=10
Subtract 4x from both sides.
2x+30=10
Combine 6x and -4x to get 2x.
2x=10-30
Subtract 30 from both sides.
2x=-20
Subtract 30 from 10 to get -20.
x=\frac{-20}{2}
Divide both sides by 2.
x=-10
Divide -20 by 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}