Solve 5x-15/8=90/19

$$\frac { 5 x - 15 } { 8 } = \frac { 90 } { 19 }$$

Solve for x

$$x = \frac{201}{19} = 10\frac{11}{19} \approx 10.578947368$$

Steps for Solving Linear Equation

Multiply both sides by 8.

$$5x-15=\frac{90}{19}\times 8$$

Express \frac{90}{19}\times 8 as a single fraction.

$$5x-15=\frac{90\times 8}{19}$$

Multiply 90 and 8 to get 720.

$$5x-15=\frac{720}{19}$$

Add 15 to both sides.

$$5x=\frac{720}{19}+15$$

Convert 15 to fraction \frac{285}{19}.

$$5x=\frac{720}{19}+\frac{285}{19}$$

Since \frac{720}{19} and \frac{285}{19} have the same denominator, add them by adding their numerators.

$$5x=\frac{720+285}{19}$$

Add 720 and 285 to get 1005.

$$5x=\frac{1005}{19}$$

Divide both sides by 5.

$$x=\frac{\frac{1005}{19}}{5}$$

Express \frac{\frac{1005}{19}}{5} as a single fraction.

$$x=\frac{1005}{19\times 5}$$

Multiply 19 and 5 to get 95.

$$x=\frac{1005}{95}$$

Reduce the fraction \frac{1005}{95} to lowest terms by extracting and canceling out 5.

$$x=\frac{201}{19}$$