Solve for x
x=1
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3\left(x+5\right)-3\left(x+5\right)=2\left(2x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+15-3\left(x+5\right)=2\left(2x-2\right)
Use the distributive property to multiply 3 by x+5.
3x+15-3x-15=2\left(2x-2\right)
Use the distributive property to multiply -3 by x+5.
15-15=2\left(2x-2\right)
Combine 3x and -3x to get 0.
0=2\left(2x-2\right)
Subtract 15 from 15 to get 0.
0=4x-4
Use the distributive property to multiply 2 by 2x-2.
4x-4=0
Swap sides so that all variable terms are on the left hand side.
4x=4
Add 4 to both sides. Anything plus zero gives itself.
x=\frac{4}{4}
Divide both sides by 4.
x=1
Divide 4 by 4 to get 1.
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}