Algebra Examples

$24 = 4 (6 b - 2 x)$

Step 1

Rewrite the equation as $4 (6 b - 2 x) = 24$ .

$4 (6 b - 2 x) = 24$

Step 2

Divide each term in $4 (6 b - 2 x) = 24$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 (6 b - 2 x) = 24$ by $4$ .

$\frac{4 (6 b - 2 x)}{4} = \frac{24}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 (6 b - 2 x)}{4} = \frac{24}{4}$

Step 2.2.1.2

Divide $6 b - 2 x$ by $1$ .

$6 b - 2 x = \frac{24}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $24$ by $4$ .

$6 b - 2 x = 6$

Step 3

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

$- 2 x = 6 - 6 b$

Step 4

Divide each term in $- 2 x = 6 - 6 b$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 x = 6 - 6 b$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{6}{- 2} + \frac{- 6 b}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{6}{- 2} + \frac{- 6 b}{- 2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{6}{- 2} + \frac{- 6 b}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Divide $6$ by $- 2$ .

$x = - 3 + \frac{- 6 b}{- 2}$

Step 4.3.1.2

Cancel the common factor of $- 6$ and $- 2$ .

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Step 4.3.1.2.1

Factor $- 2$ out of $- 6 b$ .

$x = - 3 + \frac{- 2 (3 b)}{- 2}$

Step 4.3.1.2.2

Cancel the common factors.

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Step 4.3.1.2.2.1

Factor $- 2$ out of $- 2$ .

$x = - 3 + \frac{- 2 (3 b)}{- 2 (1)}$

Step 4.3.1.2.2.2

Cancel the common factor.

$x = - 3 + \frac{- 2 (3 b)}{- 2 \cdot 1}$

Step 4.3.1.2.2.3

Rewrite the expression.

$x = - 3 + \frac{3 b}{1}$

Step 4.3.1.2.2.4

Divide $3 b$ by $1$ .

$x = - 3 + 3 b$