Solve 5/5=4/5(1+x)

$$\frac { 5 } { 5 } = \frac { 4 } { 5 } ( 1 + x )$$

Solve for x

$$x=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Divide 5 by 5 to get 1.

$$1=\frac{4}{5}\left(1+x\right)$$

Use the distributive property to multiply \frac{4}{5} by 1+x.

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

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

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

Subtract \frac{4}{5} from both sides.

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

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 5 to get 1.

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

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

$$x=\frac{1}{5}\times \frac{5}{4}$$

Multiply \frac{1}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{1}{4}$$