Algebra Examples

$\frac{- 7 (3 x + 6)}{3} = 7$

Step 1

Cancel the common factor of $3 x + 6$ and $3$ .

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Step 1.1

Factor $3$ out of $- 7 (3 x + 6)$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.2.4

Divide $- 7 (x + 2)$ by $1$ .

$- 7 (x + 2) = 7$

Step 2

Solve for $x$ .

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Step 2.1

Divide each term in $- 7 (x + 2) = 7$ by $- 7$ and simplify.

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Step 2.1.1

Divide each term in $- 7 (x + 2) = 7$ by $- 7$ .

$\frac{- 7 (x + 2)}{- 7} = \frac{7}{- 7}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $- 7$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{- 7 (x + 2)}{- 7} = \frac{7}{- 7}$

Step 2.1.2.1.2

Divide $x + 2$ by $1$ .

$x + 2 = \frac{7}{- 7}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $7$ by $- 7$ .

$x + 2 = - 1$

Step 2.2

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

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Step 2.2.1

Subtract $2$ from both sides of the equation.

$x = - 1 - 2$

Step 2.2.2

Subtract $2$ from $- 1$ .

$x = - 3$