Solve 72x-36/70=75

$$72 x - \frac { 36 } { 70 } = 75$$

Solve for x

$$x = \frac{881}{840} = 1\frac{41}{840} \approx 1.048809524$$

Steps for Solving Linear Equation

Reduce the fraction \frac{36}{70} to lowest terms by extracting and canceling out 2.

$$72x-\frac{18}{35}=75$$

Add \frac{18}{35} to both sides.

$$72x=75+\frac{18}{35}$$

Convert 75 to fraction \frac{2625}{35}.

$$72x=\frac{2625}{35}+\frac{18}{35}$$

Since \frac{2625}{35} and \frac{18}{35} have the same denominator, add them by adding their numerators.

$$72x=\frac{2625+18}{35}$$

Add 2625 and 18 to get 2643.

$$72x=\frac{2643}{35}$$

Divide both sides by 72.

$$x=\frac{\frac{2643}{35}}{72}$$

Express \frac{\frac{2643}{35}}{72} as a single fraction.

$$x=\frac{2643}{35\times 72}$$

Multiply 35 and 72 to get 2520.

$$x=\frac{2643}{2520}$$

Reduce the fraction \frac{2643}{2520} to lowest terms by extracting and canceling out 3.

$$x=\frac{881}{840}$$