Solve for x
x = \frac{17}{4} = 4\frac{1}{4} = 4.25
Graph
Share
Copied to clipboard
10x-20-2\left(x-3\right)=20
Use the distributive property to multiply 10 by x-2.
10x-20-2x+6=20
Use the distributive property to multiply -2 by x-3.
8x-20+6=20
Combine 10x and -2x to get 8x.
8x-14=20
Add -20 and 6 to get -14.
8x=20+14
Add 14 to both sides.
8x=34
Add 20 and 14 to get 34.
x=\frac{34}{8}
Divide both sides by 8.
x=\frac{17}{4}
Reduce the fraction \frac{34}{8} to lowest terms by extracting and canceling out 2.
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}