Solve 728/65-(30+x)=852

$$\frac{ 728 }{ 65 } -(30+x) = 852$$

Solve for x

$$x = -\frac{4354}{5} = -870\frac{4}{5} = -870.8$$

Steps for Solving Linear Equation

Reduce the fraction \frac{728}{65} to lowest terms by extracting and canceling out 13.

$$\frac{56}{5}-\left(30+x\right)=852$$

To find the opposite of 30+x, find the opposite of each term.

$$\frac{56}{5}-30-x=852$$

Convert 30 to fraction \frac{150}{5}.

$$\frac{56}{5}-\frac{150}{5}-x=852$$

Since \frac{56}{5} and \frac{150}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-150}{5}-x=852$$

Subtract 150 from 56 to get -94.

$$-\frac{94}{5}-x=852$$

Add \frac{94}{5} to both sides.

$$-x=852+\frac{94}{5}$$

Convert 852 to fraction \frac{4260}{5}.

$$-x=\frac{4260}{5}+\frac{94}{5}$$

Since \frac{4260}{5} and \frac{94}{5} have the same denominator, add them by adding their numerators.

$$-x=\frac{4260+94}{5}$$

Add 4260 and 94 to get 4354.

$$-x=\frac{4354}{5}$$

Multiply both sides by -1.

$$x=-\frac{4354}{5}$$