Solve 16(.25x-68)=600

$$16(.25x-68)=600$$

Solve for x

$$x=422$$

Steps for Solving Linear Equation

Divide both sides by 16.

$$0.25x-68=\frac{600}{16}$$

Reduce the fraction \frac{600}{16} to lowest terms by extracting and canceling out 8.

$$0.25x-68=\frac{75}{2}$$

Add 68 to both sides.

$$0.25x=\frac{75}{2}+68$$

Convert 68 to fraction \frac{136}{2}.

$$0.25x=\frac{75}{2}+\frac{136}{2}$$

Since \frac{75}{2} and \frac{136}{2} have the same denominator, add them by adding their numerators.

$$0.25x=\frac{75+136}{2}$$

Add 75 and 136 to get 211.

$$0.25x=\frac{211}{2}$$

Divide both sides by 0.25.

$$x=\frac{\frac{211}{2}}{0.25}$$

Express \frac{\frac{211}{2}}{0.25} as a single fraction.

$$x=\frac{211}{2\times 0.25}$$

Multiply 2 and 0.25 to get 0.5.

$$x=\frac{211}{0.5}$$

Expand \frac{211}{0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{2110}{5}$$

Divide 2110 by 5 to get 422.

$$x=422$$