Solve -3/5(25s-40)=6s-18

$$- \frac { 3 } { 5 } ( 25 s - 40 ) = 6 s - 18$$

Solve for s

$$s=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{3}{5} by 25s-40.

$$-\frac{3}{5}\times 25s-\frac{3}{5}\left(-40\right)=6s-18$$

Express -\frac{3}{5}\times 25 as a single fraction.

$$\frac{-3\times 25}{5}s-\frac{3}{5}\left(-40\right)=6s-18$$

Multiply -3 and 25 to get -75.

$$\frac{-75}{5}s-\frac{3}{5}\left(-40\right)=6s-18$$

Divide -75 by 5 to get -15.

$$-15s-\frac{3}{5}\left(-40\right)=6s-18$$

Express -\frac{3}{5}\left(-40\right) as a single fraction.

$$-15s+\frac{-3\left(-40\right)}{5}=6s-18$$

Multiply -3 and -40 to get 120.

$$-15s+\frac{120}{5}=6s-18$$

Divide 120 by 5 to get 24.

$$-15s+24=6s-18$$

Subtract 6s from both sides.

$$-15s+24-6s=-18$$

Combine -15s and -6s to get -21s.

$$-21s+24=-18$$

Subtract 24 from both sides.

$$-21s=-18-24$$

Subtract 24 from -18 to get -42.

$$-21s=-42$$

Divide both sides by -21.

$$s=\frac{-42}{-21}$$

Divide -42 by -21 to get 2.

$$s=2$$