Solve 1/2=4/5x-4/4=

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

Solve for x

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

Steps for Solving Linear Equation

Divide 4 by 4 to get 1.

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

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

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

Add 1 to both sides.

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 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}.

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