Algebra Examples

$2 a + 9 b = - 5 + f$

Step 1

Subtract $9 b$ from both sides of the equation.

$2 a = - 5 + f - 9 b$

Step 2

Divide each term in $2 a = - 5 + f - 9 b$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 a = - 5 + f - 9 b$ by $2$ .

$\frac{2 a}{2} = \frac{- 5}{2} + \frac{f}{2} + \frac{- 9 b}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{- 5}{2} + \frac{f}{2} + \frac{- 9 b}{2}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{- 5}{2} + \frac{f}{2} + \frac{- 9 b}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$a = - \frac{5}{2} + \frac{f}{2} + \frac{- 9 b}{2}$

Step 2.3.1.2

Move the negative in front of the fraction.

$a = - \frac{5}{2} + \frac{f}{2} - \frac{9 b}{2}$