Algebra Examples

$\frac{3}{a} x - 4 = 20$

Step 1

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

$\frac{3 x}{a} - 4 = 20$

Step 2

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

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Step 2.1

Add $4$ to both sides of the equation.

$\frac{3 x}{a} = 20 + 4$

Step 2.2

Add $20$ and $4$ .

$\frac{3 x}{a} = 24$

$\frac{3 x}{a} = 24$

Step 3

Multiply both sides by $a$ .

$\frac{3 x}{a} a = 24 a$

Step 4

Simplify the left side.

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Step 4.1

Cancel the common factor of $a$ .

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Step 4.1.1

Cancel the common factor.

$\frac{3 x}{a} a = 24 a$

Step 4.1.2

Rewrite the expression.

$3 x = 24 a$

$3 x = 24 a$

$3 x = 24 a$

Step 5

Divide each term in $3 x = 24 a$ by $3$ and simplify.

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Step 5.1

Divide each term in $3 x = 24 a$ by $3$ .

$\frac{3 x}{3} = \frac{24 a}{3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{24 a}{3}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{24 a}{3}$

$x = \frac{24 a}{3}$

$x = \frac{24 a}{3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $24$ and $3$ .

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Step 5.3.1.1

Factor $3$ out of $24 a$ .

$x = \frac{3 (8 a)}{3}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $3$ out of $3$ .

$x = \frac{3 (8 a)}{3 (1)}$

Step 5.3.1.2.2

Cancel the common factor.

$x = \frac{3 (8 a)}{3 \cdot 1}$

Step 5.3.1.2.3

Rewrite the expression.

$x = \frac{8 a}{1}$

Step 5.3.1.2.4

Divide $8 a$ by $1$ .

$x = 8 a$

$x = 8 a$

$x = 8 a$

$x = 8 a$

$x = 8 a$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$