Solve for x -3/5(15x-30)=198

$- \frac{3}{5} (15 x - 30) = 198$

Multiply both sides of the equation by $- \frac{5}{3}$ .

$- \frac{5}{3} (- \frac{3}{5} \cdot (15 x - 30)) = - \frac{5}{3} \cdot 198$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{3} (- \frac{3}{5} \cdot (15 x - 30))$ .

Apply the distributive property.

$- \frac{5}{3} (- \frac{3}{5} (15 x) - \frac{3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$- \frac{5}{3} (\frac{- 3}{5} (15 x) - \frac{3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Factor $5$ out of $15 x$ .

$- \frac{5}{3} (\frac{- 3}{5} (5 (3 x)) - \frac{3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Cancel the common factor.

$- \frac{5}{3} (\frac{- 3}{5} (5 (3 x)) - \frac{3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Rewrite the expression.

$- \frac{5}{3} (- 3 (3 x) - \frac{3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Multiply $3$ by $- 3$ .

$- \frac{5}{3} (- 9 x - \frac{3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$- \frac{5}{3} (- 9 x + \frac{- 3}{5} \cdot - 30) = - \frac{5}{3} \cdot 198$

Factor $5$ out of $- 30$ .

$- \frac{5}{3} (- 9 x + \frac{- 3}{5} \cdot (5 (- 6))) = - \frac{5}{3} \cdot 198$

Cancel the common factor.

$- \frac{5}{3} (- 9 x + \frac{- 3}{5} \cdot (5 \cdot - 6)) = - \frac{5}{3} \cdot 198$

Rewrite the expression.

$- \frac{5}{3} (- 9 x - 3 \cdot - 6) = - \frac{5}{3} \cdot 198$

Multiply $- 3$ by $- 6$ .

$- \frac{5}{3} (- 9 x + 18) = - \frac{5}{3} \cdot 198$

Apply the distributive property.

$- \frac{5}{3} (- 9 x) - \frac{5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$\frac{- 5}{3} (- 9 x) - \frac{5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Factor $3$ out of $- 9 x$ .

$\frac{- 5}{3} (3 (- 3 x)) - \frac{5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Cancel the common factor.

$\frac{- 5}{3} (3 (- 3 x)) - \frac{5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Rewrite the expression.

$- 5 (- 3 x) - \frac{5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Multiply $- 3$ by $- 5$ .

$15 x - \frac{5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$15 x + \frac{- 5}{3} \cdot 18 = - \frac{5}{3} \cdot 198$

Factor $3$ out of $18$ .

$15 x + \frac{- 5}{3} \cdot (3 (6)) = - \frac{5}{3} \cdot 198$

Cancel the common factor.

$15 x + \frac{- 5}{3} \cdot (3 \cdot 6) = - \frac{5}{3} \cdot 198$

Rewrite the expression.

$15 x - 5 \cdot 6 = - \frac{5}{3} \cdot 198$

Multiply $- 5$ by $6$ .

$15 x - 30 = - \frac{5}{3} \cdot 198$

Simplify the right side.

Simplify $- \frac{5}{3} \cdot 198$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$15 x - 30 = \frac{- 5}{3} \cdot 198$

Factor $3$ out of $198$ .

$15 x - 30 = \frac{- 5}{3} \cdot (3 (66))$

Cancel the common factor.

$15 x - 30 = \frac{- 5}{3} \cdot (3 \cdot 66)$

Rewrite the expression.

$15 x - 30 = - 5 \cdot 66$

Multiply $- 5$ by $66$ .

$15 x - 30 = - 330$

Move all terms not containing $x$ to the right side of the equation.

Add $30$ to both sides of the equation.

$15 x = - 330 + 30$

Add $- 330$ and $30$ .

$15 x = - 300$

Divide each term in $15 x = - 300$ by $15$ and simplify.

Divide each term in $15 x = - 300$ by $15$ .

$\frac{15 x}{15} = \frac{- 300}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{- 300}{15}$

Divide $x$ by $1$ .

$x = \frac{- 300}{15}$

Simplify the right side.

Divide $- 300$ by $15$ .

$x = - 20$

Solve for x -3/5(15x-30)=198

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