Solve for x 12x=4(x+5)

$12 x = 4 (x + 5)$

Step 1

Simplify $4 (x + 5)$ .

Apply the distributive property.

$12 x = 4 x + 4 \cdot 5$

Multiply $4$ by $5$ .

$12 x = 4 x + 20$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $4 x$ from both sides of the equation.

$12 x - 4 x = 20$

Subtract $4 x$ from $12 x$ .

$8 x = 20$

Step 3

Divide each term in $8 x = 20$ by $8$ and simplify.

Divide each term in $8 x = 20$ by $8$ .

$\frac{8 x}{8} = \frac{20}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{20}{8}$

Divide $x$ by $1$ .

$x = \frac{20}{8}$

Simplify the right side.

Cancel the common factor of $20$ and $8$ .

Factor $4$ out of $20$ .

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

Cancel the common factors.

Factor $4$ out of $8$ .

$x = \frac{4 \cdot 5}{4 \cdot 2}$

Cancel the common factor.

$x = \frac{4 \cdot 5}{4 \cdot 2}$

Rewrite the expression.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 2.5$

Mixed Number Form:

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