Solve for x
x=4
Graph
Share
Copied to clipboard
\left(4x-13\right)\times 7=\left(6x-17\right)\times 3
Variable x cannot be equal to any of the values \frac{17}{6},\frac{13}{4} since division by zero is not defined. Multiply both sides of the equation by \left(4x-13\right)\left(6x-17\right), the least common multiple of 6x-17,4x-13.
28x-91=\left(6x-17\right)\times 3
Use the distributive property to multiply 4x-13 by 7.
28x-91=18x-51
Use the distributive property to multiply 6x-17 by 3.
28x-91-18x=-51
Subtract 18x from both sides.
10x-91=-51
Combine 28x and -18x to get 10x.
10x=-51+91
Add 91 to both sides.
10x=40
Add -51 and 91 to get 40.
x=\frac{40}{10}
Divide both sides by 10.
x=4
Divide 40 by 10 to get 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}