Solve for x
x=27
Graph
Share
Copied to clipboard
\left(14x+63\right)\times 18\times \frac{3}{7}=7x\times 18
Variable x cannot be equal to any of the values -\frac{9}{2},0 since division by zero is not defined. Multiply both sides of the equation by 7x\left(2x+9\right), the least common multiple of x,7,2x+9.
\left(14x+63\right)\times \frac{54}{7}=7x\times 18
Multiply 18 and \frac{3}{7} to get \frac{54}{7}.
108x+486=7x\times 18
Use the distributive property to multiply 14x+63 by \frac{54}{7}.
108x+486=126x
Multiply 7 and 18 to get 126.
108x+486-126x=0
Subtract 126x from both sides.
-18x+486=0
Combine 108x and -126x to get -18x.
-18x=-486
Subtract 486 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-486}{-18}
Divide both sides by -18.
x=27
Divide -486 by -18 to get 27.
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}