Solve 3x+5/2=7

$$3 x + \frac { 5 } { 2 } = 7$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Subtract \frac{5}{2} from both sides.

$$3x=7-\frac{5}{2}$$

Convert 7 to fraction \frac{14}{2}.

$$3x=\frac{14}{2}-\frac{5}{2}$$

Since \frac{14}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{14-5}{2}$$

Subtract 5 from 14 to get 9.

$$3x=\frac{9}{2}$$

Divide both sides by 3.

$$x=\frac{\frac{9}{2}}{3}$$

Express \frac{\frac{9}{2}}{3} as a single fraction.

$$x=\frac{9}{2\times 3}$$

Multiply 2 and 3 to get 6.

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

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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