Solve 3=4/5(h+2)

$$3 = \frac { 4 } { 5 } ( h + 2 )$$

Solve for h

$$h = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$3\times \frac{5}{4}=h+2$$

Express 3\times \frac{5}{4} as a single fraction.

$$\frac{3\times 5}{4}=h+2$$

Multiply 3 and 5 to get 15.

$$\frac{15}{4}=h+2$$

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

$$h+2=\frac{15}{4}$$

Subtract 2 from both sides.

$$h=\frac{15}{4}-2$$

Convert 2 to fraction \frac{8}{4}.

$$h=\frac{15}{4}-\frac{8}{4}$$

Since \frac{15}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$h=\frac{15-8}{4}$$

Subtract 8 from 15 to get 7.

$$h=\frac{7}{4}$$