Solve for x
x = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333
Graph
Share
Copied to clipboard
3\left(x-4\right)\times 5-3=3\left(5-x\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-4\right), the least common multiple of 3x-12,x-4.
\left(3x-12\right)\times 5-3=3\left(5-x\right)
Use the distributive property to multiply 3 by x-4.
15x-60-3=3\left(5-x\right)
Use the distributive property to multiply 3x-12 by 5.
15x-63=3\left(5-x\right)
Subtract 3 from -60 to get -63.
15x-63=15-3x
Use the distributive property to multiply 3 by 5-x.
15x-63+3x=15
Add 3x to both sides.
18x-63=15
Combine 15x and 3x to get 18x.
18x=15+63
Add 63 to both sides.
18x=78
Add 15 and 63 to get 78.
x=\frac{78}{18}
Divide both sides by 18.
x=\frac{13}{3}
Reduce the fraction \frac{78}{18} to lowest terms by extracting and canceling out 6.
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}