Solve for x
x = \frac{35}{2} = 17\frac{1}{2} = 17.5
Graph
Share
Copied to clipboard
2\left(2x-5\right)+4x-10=120
Multiply both sides of the equation by 20, the least common multiple of 10,20.
4x-10+4x-10=120
Use the distributive property to multiply 2 by 2x-5.
8x-10-10=120
Combine 4x and 4x to get 8x.
8x-20=120
Subtract 10 from -10 to get -20.
8x=120+20
Add 20 to both sides.
8x=140
Add 120 and 20 to get 140.
x=\frac{140}{8}
Divide both sides by 8.
x=\frac{35}{2}
Reduce the fraction \frac{140}{8} to lowest terms by extracting and canceling out 4.
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}