Solve for x
x=-8
Graph
Share
Copied to clipboard
6\left(x+1\right)=6\left(x+2\right)\times \frac{2}{3}+6\left(x+2\right)\times \frac{1}{2}
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 6\left(x+2\right), the least common multiple of x+2,3,2.
6x+6=6\left(x+2\right)\times \frac{2}{3}+6\left(x+2\right)\times \frac{1}{2}
Use the distributive property to multiply 6 by x+1.
6x+6=4\left(x+2\right)+6\left(x+2\right)\times \frac{1}{2}
Multiply 6 and \frac{2}{3} to get 4.
6x+6=4x+8+6\left(x+2\right)\times \frac{1}{2}
Use the distributive property to multiply 4 by x+2.
6x+6=4x+8+3\left(x+2\right)
Multiply 6 and \frac{1}{2} to get 3.
6x+6=4x+8+3x+6
Use the distributive property to multiply 3 by x+2.
6x+6=7x+8+6
Combine 4x and 3x to get 7x.
6x+6=7x+14
Add 8 and 6 to get 14.
6x+6-7x=14
Subtract 7x from both sides.
-x+6=14
Combine 6x and -7x to get -x.
-x=14-6
Subtract 6 from both sides.
-x=8
Subtract 6 from 14 to get 8.
x=-8
Multiply both sides by -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}