Algebra Examples

$7 x - 7 = 12 x + 13$

Step 1

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

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Step 1.1

Subtract $12 x$ from both sides of the equation.

$7 x - 7 - 12 x = 13$

Step 1.2

Subtract $12 x$ from $7 x$ .

$- 5 x - 7 = 13$

Step 2

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

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Step 2.1

Add $7$ to both sides of the equation.

$- 5 x = 13 + 7$

Step 2.2

Add $13$ and $7$ .

$- 5 x = 20$

Step 3

Divide each term in $- 5 x = 20$ by $- 5$ and simplify.

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Step 3.1

Divide each term in $- 5 x = 20$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{20}{- 5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{20}{- 5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{20}{- 5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $20$ by $- 5$ .

$x = - 4$