Solve for x
x=9
Graph
Share
Copied to clipboard
2\left(x+5\right)+7\left(x-5\right)=56
Multiply both sides of the equation by 28, the least common multiple of 14,4.
2x+10+7\left(x-5\right)=56
Use the distributive property to multiply 2 by x+5.
2x+10+7x-35=56
Use the distributive property to multiply 7 by x-5.
9x+10-35=56
Combine 2x and 7x to get 9x.
9x-25=56
Subtract 35 from 10 to get -25.
9x=56+25
Add 25 to both sides.
9x=81
Add 56 and 25 to get 81.
x=\frac{81}{9}
Divide both sides by 9.
x=9
Divide 81 by 9 to get 9.
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}