Solve for x
x=10
Graph
Share
Copied to clipboard
2\left(x-\frac{3\times 2+1}{2}x\right)+14=-3x-6
Multiply both sides of the equation by 2.
2\left(x-\frac{6+1}{2}x\right)+14=-3x-6
Multiply 3 and 2 to get 6.
2\left(x-\frac{7}{2}x\right)+14=-3x-6
Add 6 and 1 to get 7.
2\left(-\frac{5}{2}\right)x+14=-3x-6
Combine x and -\frac{7}{2}x to get -\frac{5}{2}x.
-5x+14=-3x-6
Cancel out 2 and 2.
-5x+14+3x=-6
Add 3x to both sides.
-2x+14=-6
Combine -5x and 3x to get -2x.
-2x=-6-14
Subtract 14 from both sides.
-2x=-20
Subtract 14 from -6 to get -20.
x=\frac{-20}{-2}
Divide both sides by -2.
x=10
Divide -20 by -2 to get 10.
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}