Algebra Examples

$- 7 x - 3 x + 2 = - 8 x - 8$

Step 1

Subtract $3 x$ from $- 7 x$ .

$- 10 x + 2 = - 8 x - 8$

Step 2

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

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Step 2.1

Add $8 x$ to both sides of the equation.

$- 10 x + 2 + 8 x = - 8$

Step 2.2

Add $- 10 x$ and $8 x$ .

$- 2 x + 2 = - 8$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$- 2 x = - 8 - 2$

Step 3.2

Subtract $2$ from $- 8$ .

$- 2 x = - 10$

Step 4

Divide each term in $- 2 x = - 10$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 x = - 10$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 10}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 10}{- 2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 10}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 10$ by $- 2$ .

$x = 5$