Algebra Examples

$5 x - 30 - 11 x = 3 x + 30 + 3 x$

Step 1

Subtract $11 x$ from $5 x$ .

$- 6 x - 30 = 3 x + 30 + 3 x$

Step 2

Add $3 x$ and $3 x$ .

$- 6 x - 30 = 6 x + 30$

Step 3

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

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Step 3.1

Subtract $6 x$ from both sides of the equation.

$- 6 x - 30 - 6 x = 30$

Step 3.2

Subtract $6 x$ from $- 6 x$ .

$- 12 x - 30 = 30$

Step 4

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

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Step 4.1

Add $30$ to both sides of the equation.

$- 12 x = 30 + 30$

Step 4.2

Add $30$ and $30$ .

$- 12 x = 60$

Step 5

Divide each term in $- 12 x = 60$ by $- 12$ and simplify.

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Step 5.1

Divide each term in $- 12 x = 60$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{60}{- 12}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 12$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{60}{- 12}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{60}{- 12}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $60$ by $- 12$ .

$x = - 5$