Solve 5/8(x+4)=4

$$\frac { 5 } { 8 } ( x + 4 ) = 4$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x+4=4\times \frac{8}{5}$$

Express 4\times \frac{8}{5} as a single fraction.

$$x+4=\frac{4\times 8}{5}$$

Multiply 4 and 8 to get 32.

$$x+4=\frac{32}{5}$$

Subtract 4 from both sides.

$$x=\frac{32}{5}-4$$

Convert 4 to fraction \frac{20}{5}.

$$x=\frac{32}{5}-\frac{20}{5}$$

Since \frac{32}{5} and \frac{20}{5} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{32-20}{5}$$

Subtract 20 from 32 to get 12.

$$x=\frac{12}{5}$$