Solve 7x+8:8x-8=5:4

$$7 x + 8 : 8 x - 8 = 5 : 4$$

Solve for x

$$x = \frac{37}{32} = 1\frac{5}{32} = 1.15625$$

Steps for Solving Linear Equation

Divide 8 by 8 to get 1.

$$7x+1x-8=\frac{5}{4}$$

Combine 7x and 1x to get 8x.

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

Add 8 to both sides.

$$8x=\frac{5}{4}+8$$

Convert 8 to fraction \frac{32}{4}.

$$8x=\frac{5}{4}+\frac{32}{4}$$

Since \frac{5}{4} and \frac{32}{4} have the same denominator, add them by adding their numerators.

$$8x=\frac{5+32}{4}$$

Add 5 and 32 to get 37.

$$8x=\frac{37}{4}$$

Divide both sides by 8.

$$x=\frac{\frac{37}{4}}{8}$$

Express \frac{\frac{37}{4}}{8} as a single fraction.

$$x=\frac{37}{4\times 8}$$

Multiply 4 and 8 to get 32.

$$x=\frac{37}{32}$$