Solve for x
x=6
Graph
Share
Copied to clipboard
12\left(x-1\right)-15\left(x+2\right)=20\left(3-x\right)
Multiply both sides of the equation by 60, the least common multiple of 5,4,3.
12x-12-15\left(x+2\right)=20\left(3-x\right)
Use the distributive property to multiply 12 by x-1.
12x-12-15x-30=20\left(3-x\right)
Use the distributive property to multiply -15 by x+2.
-3x-12-30=20\left(3-x\right)
Combine 12x and -15x to get -3x.
-3x-42=20\left(3-x\right)
Subtract 30 from -12 to get -42.
-3x-42=60-20x
Use the distributive property to multiply 20 by 3-x.
-3x-42+20x=60
Add 20x to both sides.
17x-42=60
Combine -3x and 20x to get 17x.
17x=60+42
Add 42 to both sides.
17x=102
Add 60 and 42 to get 102.
x=\frac{102}{17}
Divide both sides by 17.
x=6
Divide 102 by 17 to get 6.
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}