Solve 2%(3x+5)-5%(2x-1)=0

$$2 \% ( 3 x + 5 ) - 5 \% ( 2 x - 1 ) = 0$$

Solve for x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}\left(3x+5\right)-\frac{5}{100}\left(2x-1\right)=0$$

Use the distributive property to multiply \frac{1}{50} by 3x+5.

$$\frac{1}{50}\times 3x+\frac{1}{50}\times 5-\frac{5}{100}\left(2x-1\right)=0$$

Multiply \frac{1}{50} and 3 to get \frac{3}{50}.

$$\frac{3}{50}x+\frac{1}{50}\times 5-\frac{5}{100}\left(2x-1\right)=0$$

Multiply \frac{1}{50} and 5 to get \frac{5}{50}.

$$\frac{3}{50}x+\frac{5}{50}-\frac{5}{100}\left(2x-1\right)=0$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$\frac{3}{50}x+\frac{1}{10}-\frac{5}{100}\left(2x-1\right)=0$$

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

$$\frac{3}{50}x+\frac{1}{10}-\frac{1}{20}\left(2x-1\right)=0$$

Use the distributive property to multiply -\frac{1}{20} by 2x-1.

$$\frac{3}{50}x+\frac{1}{10}-\frac{1}{20}\times 2x-\frac{1}{20}\left(-1\right)=0$$

Express -\frac{1}{20}\times 2 as a single fraction.

$$\frac{3}{50}x+\frac{1}{10}+\frac{-2}{20}x-\frac{1}{20}\left(-1\right)=0$$

Reduce the fraction \frac{-2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{50}x+\frac{1}{10}-\frac{1}{10}x-\frac{1}{20}\left(-1\right)=0$$

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

$$\frac{3}{50}x+\frac{1}{10}-\frac{1}{10}x+\frac{1}{20}=0$$

Combine \frac{3}{50}x and -\frac{1}{10}x to get -\frac{1}{25}x.

$$-\frac{1}{25}x+\frac{1}{10}+\frac{1}{20}=0$$

Least common multiple of 10 and 20 is 20. Convert \frac{1}{10} and \frac{1}{20} to fractions with denominator 20.

$$-\frac{1}{25}x+\frac{2}{20}+\frac{1}{20}=0$$

Since \frac{2}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$-\frac{1}{25}x+\frac{2+1}{20}=0$$

Add 2 and 1 to get 3.

$$-\frac{1}{25}x+\frac{3}{20}=0$$

Subtract \frac{3}{20} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{25}x=-\frac{3}{20}$$

Multiply both sides by -25, the reciprocal of -\frac{1}{25}.

$$x=-\frac{3}{20}\left(-25\right)$$

Express -\frac{3}{20}\left(-25\right) as a single fraction.

$$x=\frac{-3\left(-25\right)}{20}$$

Multiply -3 and -25 to get 75.

$$x=\frac{75}{20}$$

Reduce the fraction \frac{75}{20} to lowest terms by extracting and canceling out 5.

$$x=\frac{15}{4}$$