Solve for x
x=8
Graph
Share
Copied to clipboard
\left(3x-4\right)\times 9=\left(2x-7\right)\times 20
Variable x cannot be equal to any of the values \frac{4}{3},\frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-7\right)\left(3x-4\right), the least common multiple of 2x-7,3x-4.
27x-36=\left(2x-7\right)\times 20
Use the distributive property to multiply 3x-4 by 9.
27x-36=40x-140
Use the distributive property to multiply 2x-7 by 20.
27x-36-40x=-140
Subtract 40x from both sides.
-13x-36=-140
Combine 27x and -40x to get -13x.
-13x=-140+36
Add 36 to both sides.
-13x=-104
Add -140 and 36 to get -104.
x=\frac{-104}{-13}
Divide both sides by -13.
x=8
Divide -104 by -13 to get 8.
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}