Solve for x 12x+4+2x=39

$12 x + 4 + 2 x = 39$

Step 1

Add $12 x$ and $2 x$ .

$14 x + 4 = 39$

Step 2

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

Subtract $4$ from both sides of the equation.

$14 x = 39 - 4$

Subtract $4$ from $39$ .

$14 x = 35$

Step 3

Divide each term in $14 x = 35$ by $14$ and simplify.

Divide each term in $14 x = 35$ by $14$ .

$\frac{14 x}{14} = \frac{35}{14}$

Simplify the left side.

Cancel the common factor of $14$ .

Cancel the common factor.

$\frac{14 x}{14} = \frac{35}{14}$

Divide $x$ by $1$ .

$x = \frac{35}{14}$

Simplify the right side.

Cancel the common factor of $35$ and $14$ .

Factor $7$ out of $35$ .

$x = \frac{7 (5)}{14}$

Cancel the common factors.

Factor $7$ out of $14$ .

$x = \frac{7 \cdot 5}{7 \cdot 2}$

Cancel the common factor.

$x = \frac{7 \cdot 5}{7 \cdot 2}$

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:

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