Solve 2500=2000(1+x*5/100)

$$2500 = 2000 ( 1 + x \times \frac { 5 } { 100 } )$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Divide both sides by 2000.

$$\frac{2500}{2000}=1+x\times \frac{5}{100}$$

Reduce the fraction \frac{2500}{2000} to lowest terms by extracting and canceling out 500.

$$\frac{5}{4}=1+x\times \frac{5}{100}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{5}{4}=1+x\times \frac{1}{20}$$

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

$$1+x\times \frac{1}{20}=\frac{5}{4}$$

Subtract 1 from both sides.

$$x\times \frac{1}{20}=\frac{5}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

$$x\times \frac{1}{20}=\frac{5}{4}-\frac{4}{4}$$

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

$$x\times \frac{1}{20}=\frac{5-4}{4}$$

Subtract 4 from 5 to get 1.

$$x\times \frac{1}{20}=\frac{1}{4}$$

Multiply both sides by 20, the reciprocal of \frac{1}{20}.

$$x=\frac{1}{4}\times 20$$

Multiply \frac{1}{4} and 20 to get \frac{20}{4}.

$$x=\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$x=5$$