Solve 2/3x-3/2=1

$$\frac { 2 } { 3 } x - \frac { 3 } { 2 } = 1$$

Solve for x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Steps for Solving Linear Equation

Add \frac{3}{2} to both sides.

$$\frac{2}{3}x=1+\frac{3}{2}$$

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{2}{3}x=\frac{5}{2}$$

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

$$x=\frac{5}{2}\times \frac{3}{2}$$

Multiply \frac{5}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{5\times 3}{2\times 2}.

$$x=\frac{15}{4}$$