Solve for x
x=-1
Graph
Share
Copied to clipboard
3\left(5-x\right)-12=3\left(1-x\right)-2\times 2\left(x+1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
15-3x-12=3\left(1-x\right)-2\times 2\left(x+1\right)
Use the distributive property to multiply 3 by 5-x.
3-3x=3\left(1-x\right)-2\times 2\left(x+1\right)
Subtract 12 from 15 to get 3.
3-3x=3-3x-2\times 2\left(x+1\right)
Use the distributive property to multiply 3 by 1-x.
3-3x=3-3x-4\left(x+1\right)
Multiply -2 and 2 to get -4.
3-3x=3-3x-4x-4
Use the distributive property to multiply -4 by x+1.
3-3x=3-7x-4
Combine -3x and -4x to get -7x.
3-3x=-1-7x
Subtract 4 from 3 to get -1.
3-3x+7x=-1
Add 7x to both sides.
3+4x=-1
Combine -3x and 7x to get 4x.
4x=-1-3
Subtract 3 from both sides.
4x=-4
Subtract 3 from -1 to get -4.
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}