Solve 75/2=2/3x

$$\frac { 75 } { 2 } = \frac { 2 } { 3 } x$$

Solve for x

$$x = \frac{225}{4} = 56\frac{1}{4} = 56.25$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$\frac{75}{2}\times \frac{3}{2}=x$$

Multiply \frac{75}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{75\times 3}{2\times 2}=x$$

Do the multiplications in the fraction \frac{75\times 3}{2\times 2}.

$$\frac{225}{4}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{225}{4}$$