Solve for x
x=7
Graph
Share
Copied to clipboard
3\left(3x-1\right)-12\times 2\left(x+3\right)=4\left(4x+2\right)-300
Multiply both sides of the equation by 60, the least common multiple of 20,5,15.
9x-3-12\times 2\left(x+3\right)=4\left(4x+2\right)-300
Use the distributive property to multiply 3 by 3x-1.
9x-3-24\left(x+3\right)=4\left(4x+2\right)-300
Multiply -12 and 2 to get -24.
9x-3-24x-72=4\left(4x+2\right)-300
Use the distributive property to multiply -24 by x+3.
-15x-3-72=4\left(4x+2\right)-300
Combine 9x and -24x to get -15x.
-15x-75=4\left(4x+2\right)-300
Subtract 72 from -3 to get -75.
-15x-75=16x+8-300
Use the distributive property to multiply 4 by 4x+2.
-15x-75=16x-292
Subtract 300 from 8 to get -292.
-15x-75-16x=-292
Subtract 16x from both sides.
-31x-75=-292
Combine -15x and -16x to get -31x.
-31x=-292+75
Add 75 to both sides.
-31x=-217
Add -292 and 75 to get -217.
x=\frac{-217}{-31}
Divide both sides by -31.
x=7
Divide -217 by -31 to get 7.
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}