Solve 1/2=2x-3/3

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

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply both sides by 3.

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

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

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

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

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

Add 3 to both sides.

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

Convert 3 to fraction \frac{6}{2}.

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

Since \frac{3}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

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

Add 3 and 6 to get 9.

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

Divide both sides by 2.

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

Express \frac{\frac{9}{2}}{2} as a single fraction.

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

Multiply 2 and 2 to get 4.

$$x=\frac{9}{4}$$