Finite Math Examples

$g (b + 8) = 8 x - 5$

Step 1

Rewrite the equation as $8 x - 5 = g (b + 8)$ .

$8 x - 5 = g (b + 8)$

Step 2

Simplify $g (b + 8)$ .

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Step 2.1

Rewrite.

$8 x - 5 = 0 + 0 + g (b + 8)$

Step 2.2

Simplify by adding zeros.

$8 x - 5 = g (b + 8)$

Step 2.3

Apply the distributive property.

$8 x - 5 = g b + g \cdot 8$

Step 2.4

Move $8$ to the left of $g$ .

$8 x - 5 = g b + 8 g$

Step 3

Add $5$ to both sides of the equation.

$8 x = g b + 8 g + 5$

Step 4

Divide each term in $8 x = g b + 8 g + 5$ by $8$ and simplify.

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Step 4.1

Divide each term in $8 x = g b + 8 g + 5$ by $8$ .

$\frac{8 x}{8} = \frac{g b}{8} + \frac{8 g}{8} + \frac{5}{8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $8$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{8 x}{8} = \frac{g b}{8} + \frac{8 g}{8} + \frac{5}{8}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{g b}{8} + \frac{8 g}{8} + \frac{5}{8}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $8$ .

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Step 4.3.1.1

Cancel the common factor.

$x = \frac{g b}{8} + \frac{8 g}{8} + \frac{5}{8}$

Step 4.3.1.2

Divide $g$ by $1$ .

$x = \frac{g b}{8} + g + \frac{5}{8}$