Algebra Examples

$- 12 f + 18 = - 8 f + 9 + 9$

Step 1

Add $9$ and $9$ .

$- 12 f + 18 = - 8 f + 18$

Step 2

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

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Step 2.1

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

$- 12 f + 18 + 8 f = 18$

Step 2.2

Add $- 12 f$ and $8 f$ .

$- 4 f + 18 = 18$

Step 3

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

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Step 3.1

Subtract $18$ from both sides of the equation.

$- 4 f = 18 - 18$

Step 3.2

Subtract $18$ from $18$ .

$- 4 f = 0$

Step 4

Divide each term in $- 4 f = 0$ by $- 4$ and simplify.

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Step 4.1

Divide each term in $- 4 f = 0$ by $- 4$ .

$\frac{- 4 f}{- 4} = \frac{0}{- 4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 4 f}{- 4} = \frac{0}{- 4}$

Step 4.2.1.2

Divide $f$ by $1$ .

$f = \frac{0}{- 4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $- 4$ .

$f = 0$