Solve for x (x-8)/5=2/4

$\frac{x - 8}{5} = \frac{2}{4}$

Step 1

Multiply both sides of the equation by $5$ .

$5 \frac{x - 8}{5} = 5 (\frac{2}{4})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x - 8}{5} = 5 (\frac{2}{4})$

Rewrite the expression.

$x - 8 = 5 (\frac{2}{4})$

Simplify the right side.

Simplify $5 (\frac{2}{4})$ .

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$x - 8 = 5 \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x - 8 = 5 \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$x - 8 = 5 \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$x - 8 = 5 (\frac{1}{2})$

Combine $5$ and $\frac{1}{2}$ .

$x - 8 = \frac{5}{2}$

Step 3

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

Add $8$ to both sides of the equation.

$x = \frac{5}{2} + 8$

To write $8$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = \frac{5}{2} + 8 \cdot \frac{2}{2}$

Combine $8$ and $\frac{2}{2}$ .

$x = \frac{5}{2} + \frac{8 \cdot 2}{2}$

Combine the numerators over the common denominator.

$x = \frac{5 + 8 \cdot 2}{2}$

Simplify the numerator.

Multiply $8$ by $2$ .

$x = \frac{5 + 16}{2}$

Add $5$ and $16$ .

$x = \frac{21}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{21}{2}$

Decimal Form:

$x = 10.5$

Mixed Number Form:

$x = 10 \frac{1}{2}$

Solve for x (x-8)/5=2/4

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