Solve 7x-3/4=5x+3/8

$$7 x - \frac { 3 } { 4 } = 5 x + \frac { 3 } { 8 }$$

Solve for x

$$x=\frac{9}{16}=0.5625$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$7x-\frac{3}{4}-5x=\frac{3}{8}$$

Combine 7x and -5x to get 2x.

$$2x-\frac{3}{4}=\frac{3}{8}$$

Add \frac{3}{4} to both sides.

$$2x=\frac{3}{8}+\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{3}{4} to fractions with denominator 8.

$$2x=\frac{3}{8}+\frac{6}{8}$$

Since \frac{3}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$2x=\frac{3+6}{8}$$

Add 3 and 6 to get 9.

$$2x=\frac{9}{8}$$

Divide both sides by 2.

$$x=\frac{\frac{9}{8}}{2}$$

Express \frac{\frac{9}{8}}{2} as a single fraction.

$$x=\frac{9}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$x=\frac{9}{16}$$