Solve 3/5(15-2x)=5

$$\frac { 3 } { 5 } ( 15 - 2 x ) = 5$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$15-2x=5\times \frac{5}{3}$$

Express 5\times \frac{5}{3} as a single fraction.

$$15-2x=\frac{5\times 5}{3}$$

Multiply 5 and 5 to get 25.

$$15-2x=\frac{25}{3}$$

Subtract 15 from both sides.

$$-2x=\frac{25}{3}-15$$

Convert 15 to fraction \frac{45}{3}.

$$-2x=\frac{25}{3}-\frac{45}{3}$$

Since \frac{25}{3} and \frac{45}{3} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{25-45}{3}$$

Subtract 45 from 25 to get -20.

$$-2x=-\frac{20}{3}$$

Divide both sides by -2.

$$x=\frac{-\frac{20}{3}}{-2}$$

Express \frac{-\frac{20}{3}}{-2} as a single fraction.

$$x=\frac{-20}{3\left(-2\right)}$$

Multiply 3 and -2 to get -6.

$$x=\frac{-20}{-6}$$

Reduce the fraction \frac{-20}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{10}{3}$$