Solve for x
x=5
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10\left(x-5\right)-5\left(3-x\right)=4x-5\left(2x-8\right)
Multiply both sides of the equation by 20, the least common multiple of 2,4,5.
10x-50-5\left(3-x\right)=4x-5\left(2x-8\right)
Use the distributive property to multiply 10 by x-5.
10x-50-15+5x=4x-5\left(2x-8\right)
Use the distributive property to multiply -5 by 3-x.
10x-65+5x=4x-5\left(2x-8\right)
Subtract 15 from -50 to get -65.
15x-65=4x-5\left(2x-8\right)
Combine 10x and 5x to get 15x.
15x-65=4x-10x+40
Use the distributive property to multiply -5 by 2x-8.
15x-65=-6x+40
Combine 4x and -10x to get -6x.
15x-65+6x=40
Add 6x to both sides.
21x-65=40
Combine 15x and 6x to get 21x.
21x=40+65
Add 65 to both sides.
21x=105
Add 40 and 65 to get 105.
x=\frac{105}{21}
Divide both sides by 21.
x=5
Divide 105 by 21 to get 5.
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}