Solve for x -1/3(6x-21)=-5(x+1)

$- \frac{1}{3} (6 x - 21) = - 5 (x + 1)$

Step 1

Simplify $- \frac{1}{3} \cdot (6 x - 21)$ .

Start simplifying.

$0 + 0 - \frac{1}{3} \cdot (6 x - 21) = - 5 (x + 1)$

Simplify by adding zeros.

$- \frac{1}{3} \cdot (6 x - 21) = - 5 (x + 1)$

Apply the distributive property.

$- \frac{1}{3} (6 x) - \frac{1}{3} \cdot - 21 = - 5 (x + 1)$

Cancel the common factor of $3$ .

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

$\frac{- 1}{3} (6 x) - \frac{1}{3} \cdot - 21 = - 5 (x + 1)$

Factor $3$ out of $6 x$ .

$\frac{- 1}{3} (3 (2 x)) - \frac{1}{3} \cdot - 21 = - 5 (x + 1)$

Cancel the common factor.

$\frac{- 1}{3} (3 (2 x)) - \frac{1}{3} \cdot - 21 = - 5 (x + 1)$

Rewrite the expression.

$- 1 (2 x) - \frac{1}{3} \cdot - 21 = - 5 (x + 1)$

Multiply $2$ by $- 1$ .

$- 2 x - \frac{1}{3} \cdot - 21 = - 5 (x + 1)$

Cancel the common factor of $3$ .

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

$- 2 x + \frac{- 1}{3} \cdot - 21 = - 5 (x + 1)$

Factor $3$ out of $- 21$ .

$- 2 x + \frac{- 1}{3} \cdot (3 (- 7)) = - 5 (x + 1)$

Cancel the common factor.

$- 2 x + \frac{- 1}{3} \cdot (3 \cdot - 7) = - 5 (x + 1)$

Rewrite the expression.

$- 2 x - 1 \cdot - 7 = - 5 (x + 1)$

Multiply $- 1$ by $- 7$ .

$- 2 x + 7 = - 5 (x + 1)$

Step 2

Simplify $- 5 (x + 1)$ .

Apply the distributive property.

$- 2 x + 7 = - 5 x - 5 \cdot 1$

Multiply $- 5$ by $1$ .

$- 2 x + 7 = - 5 x - 5$

Step 3

Move all terms containing $x$ to the left side of the equation.

Add $5 x$ to both sides of the equation.

$- 2 x + 7 + 5 x = - 5$

Add $- 2 x$ and $5 x$ .

$3 x + 7 = - 5$

Step 4

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

Subtract $7$ from both sides of the equation.

$3 x = - 5 - 7$

Subtract $7$ from $- 5$ .

$3 x = - 12$

Step 5

Divide each term in $3 x = - 12$ by $3$ and simplify.

Divide each term in $3 x = - 12$ by $3$ .

$\frac{3 x}{3} = \frac{- 12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 12}{3}$

Divide $x$ by $1$ .

$x = \frac{- 12}{3}$

Simplify the right side.

Divide $- 12$ by $3$ .

$x = - 4$

Solve for x -1/3(6x-21)=-5(x+1)

Related Questions

Support LCMGCF.com by disabling your adblocker.