Solve for x
x=12
Graph
Share
Copied to clipboard
\left(x+2\right)\times 3=\left(x-6\right)\times 7
Variable x cannot be equal to any of the values -2,6 since division by zero is not defined. Multiply both sides of the equation by \left(x-6\right)\left(x+2\right), the least common multiple of x-6,x+2.
3x+6=\left(x-6\right)\times 7
Use the distributive property to multiply x+2 by 3.
3x+6=7x-42
Use the distributive property to multiply x-6 by 7.
3x+6-7x=-42
Subtract 7x from both sides.
-4x+6=-42
Combine 3x and -7x to get -4x.
-4x=-42-6
Subtract 6 from both sides.
-4x=-48
Subtract 6 from -42 to get -48.
x=\frac{-48}{-4}
Divide both sides by -4.
x=12
Divide -48 by -4 to get 12.
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}