Solve for x
x=7
Graph
Share
Copied to clipboard
-45\left(13-x\right)=\left(x-52\right)\times 6
Variable x cannot be equal to 52 since division by zero is not defined. Multiply both sides of the equation by 45\left(x-52\right), the least common multiple of 52-x,45.
-585+45x=\left(x-52\right)\times 6
Use the distributive property to multiply -45 by 13-x.
-585+45x=6x-312
Use the distributive property to multiply x-52 by 6.
-585+45x-6x=-312
Subtract 6x from both sides.
-585+39x=-312
Combine 45x and -6x to get 39x.
39x=-312+585
Add 585 to both sides.
39x=273
Add -312 and 585 to get 273.
x=\frac{273}{39}
Divide both sides by 39.
x=7
Divide 273 by 39 to get 7.
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}