Algebra Examples

$15 + 1 - 12 q = - 18 q - 14$

Step 1

Add $15$ and $1$ .

$16 - 12 q = - 18 q - 14$

Step 2

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

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Step 2.1

Add $18 q$ to both sides of the equation.

$16 - 12 q + 18 q = - 14$

Step 2.2

Add $- 12 q$ and $18 q$ .

$16 + 6 q = - 14$

Step 3

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

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Step 3.1

Subtract $16$ from both sides of the equation.

$6 q = - 14 - 16$

Step 3.2

Subtract $16$ from $- 14$ .

$6 q = - 30$

Step 4

Divide each term in $6 q = - 30$ by $6$ and simplify.

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Step 4.1

Divide each term in $6 q = - 30$ by $6$ .

$\frac{6 q}{6} = \frac{- 30}{6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{6 q}{6} = \frac{- 30}{6}$

Step 4.2.1.2

Divide $q$ by $1$ .

$q = \frac{- 30}{6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 30$ by $6$ .

$q = - 5$