Solve for x -1/3(9x+42)-5x=-70

$- \frac{1}{3} (9 x + 42) - 5 x = - 70$

Simplify $- \frac{1}{3} \cdot (9 x + 42) - 5 x$ .

Simplify each term.

Apply the distributive property.

$- \frac{1}{3} (9 x) - \frac{1}{3} \cdot 42 - 5 x = - 70$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$\frac{- 1}{3} (9 x) - \frac{1}{3} \cdot 42 - 5 x = - 70$

Factor $3$ out of $9 x$ .

$\frac{- 1}{3} (3 (3 x)) - \frac{1}{3} \cdot 42 - 5 x = - 70$

Cancel the common factor.

$\frac{- 1}{3} (3 (3 x)) - \frac{1}{3} \cdot 42 - 5 x = - 70$

Rewrite the expression.

$- 1 (3 x) - \frac{1}{3} \cdot 42 - 5 x = - 70$

Multiply $3$ by $- 1$ .

$- 3 x - \frac{1}{3} \cdot 42 - 5 x = - 70$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$- 3 x + \frac{- 1}{3} \cdot 42 - 5 x = - 70$

Factor $3$ out of $42$ .

$- 3 x + \frac{- 1}{3} \cdot (3 (14)) - 5 x = - 70$

Cancel the common factor.

$- 3 x + \frac{- 1}{3} \cdot (3 \cdot 14) - 5 x = - 70$

Rewrite the expression.

$- 3 x - 1 \cdot 14 - 5 x = - 70$

Multiply $- 1$ by $14$ .

$- 3 x - 14 - 5 x = - 70$

Subtract $5 x$ from $- 3 x$ .

$- 8 x - 14 = - 70$

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

Add $14$ to both sides of the equation.

$- 8 x = - 70 + 14$

Add $- 70$ and $14$ .

$- 8 x = - 56$

Divide each term in $- 8 x = - 56$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 56$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 56}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 56}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 56}{- 8}$

Simplify the right side.

Divide $- 56$ by $- 8$ .

$x = 7$

Solve for x -1/3(9x+42)-5x=-70

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