Solve 144/216=18x/18x+72

$$\frac { 144 } { 216 } = \frac { 18 x } { 18 x + 72 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 216\left(x+4\right), the least common multiple of 216,18x+72.

$$\left(x+4\right)\times 144=12\times 18x$$

Use the distributive property to multiply x+4 by 144.

$$144x+576=12\times 18x$$

Multiply 12 and 18 to get 216.

$$144x+576=216x$$

Subtract 216x from both sides.

$$144x+576-216x=0$$

Combine 144x and -216x to get -72x.

$$-72x+576=0$$

Subtract 576 from both sides. Anything subtracted from zero gives its negation.

$$-72x=-576$$

Divide both sides by -72.

$$x=\frac{-576}{-72}$$

Divide -576 by -72 to get 8.

$$x=8$$