Solve for x
x = \frac{51}{7} = 7\frac{2}{7} \approx 7.285714286
Graph
Share
Copied to clipboard
5\left(x+5\right)=90-2\left(x+7\right)
Multiply both sides of the equation by 10, the least common multiple of 2,5.
5x+25=90-2\left(x+7\right)
Use the distributive property to multiply 5 by x+5.
5x+25=90-2x-14
Use the distributive property to multiply -2 by x+7.
5x+25=76-2x
Subtract 14 from 90 to get 76.
5x+25+2x=76
Add 2x to both sides.
7x+25=76
Combine 5x and 2x to get 7x.
7x=76-25
Subtract 25 from both sides.
7x=51
Subtract 25 from 76 to get 51.
x=\frac{51}{7}
Divide both sides by 7.
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}