Solve 9/13.5=6/2x

$$\frac{ 9 }{ 13.5 } = \frac{ 6 }{ 2x }$$

Solve for x

$$x=4.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.

$$2x\times \frac{9}{13.5}=6$$

Expand \frac{9}{13.5} by multiplying both numerator and the denominator by 10.

$$2x\times \frac{90}{135}=6$$

Reduce the fraction \frac{90}{135} to lowest terms by extracting and canceling out 45.

$$2x\times \frac{2}{3}=6$$

Multiply 2 and \frac{2}{3} to get \frac{4}{3}.

$$\frac{4}{3}x=6$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=6\times \frac{3}{4}$$

Multiply 6 and \frac{3}{4} to get \frac{9}{2}.

$$x=\frac{9}{2}$$