Solve 4/5x+1/2=2

$$\frac{ 4 }{ 5 } x+ \frac{ 1 }{ 2 } = 2$$

Solve for x

$$x = \frac{15}{8} = 1\frac{7}{8} = 1.875$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from both sides.

$$\frac{4}{5}x=2-\frac{1}{2}$$

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

$$\frac{4}{5}x=\frac{4}{2}-\frac{1}{2}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{5}x=\frac{4-1}{2}$$

Subtract 1 from 4 to get 3.

$$\frac{4}{5}x=\frac{3}{2}$$

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

$$x=\frac{3}{2}\times \frac{5}{4}$$

Multiply \frac{3}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 5}{2\times 4}$$

Do the multiplications in the fraction \frac{3\times 5}{2\times 4}.

$$x=\frac{15}{8}$$