Algebra Examples

$7 = \frac{3}{a} (x + 5)$

Step 1

Rewrite the equation as $\frac{3}{a} \cdot (x + 5) = 7$ .

$\frac{3}{a} \cdot (x + 5) = 7$

Step 2

Multiply each term in $\frac{3}{a} \cdot (x + 5) = 7$ by $\frac{a}{3}$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{3}{a} \cdot (x + 5) = 7$ by $\frac{a}{3}$ .

$\frac{3}{a} \cdot (x + 5) \frac{a}{3} = 7 \frac{a}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $\frac{3}{a}$ by $x + 5$ .

$\frac{3 (x + 5)}{a} \cdot \frac{a}{3} = 7 \frac{a}{3}$

Step 2.2.2

Cancel the common factor of $3$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{3 (x + 5)}{a} \cdot \frac{a}{3} = 7 \frac{a}{3}$

Step 2.2.2.2

Rewrite the expression.

$\frac{x + 5}{a} a = 7 \frac{a}{3}$

Step 2.2.3

Cancel the common factor of $a$ .

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Step 2.2.3.1

Cancel the common factor.

$\frac{x + 5}{a} a = 7 \frac{a}{3}$

Step 2.2.3.2

Rewrite the expression.

$x + 5 = 7 \frac{a}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine $7$ and $\frac{a}{3}$ .

$x + 5 = \frac{7 a}{3}$

Step 3

Subtract $5$ from both sides of the equation.

$x = \frac{7 a}{3} - 5$