Solve for x 8x+2+3x+5=x+12

$8 x + 2 + 3 x + 5 = x + 12$

Simplify $8 x + 2 + 3 x + 5$ .

Add $8 x$ and $3 x$ .

$11 x + 2 + 5 = x + 12$

Add $2$ and $5$ .

$11 x + 7 = x + 12$

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

Subtract $x$ from both sides of the equation.

$11 x + 7 - x = 12$

Subtract $x$ from $11 x$ .

$10 x + 7 = 12$

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

Subtract $7$ from both sides of the equation.

$10 x = 12 - 7$

Subtract $7$ from $12$ .

$10 x = 5$

Divide each term in $10 x = 5$ by $10$ and simplify.

Divide each term in $10 x = 5$ by $10$ .

$\frac{10 x}{10} = \frac{5}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{5}{10}$

Divide $x$ by $1$ .

$x = \frac{5}{10}$

Simplify the right side.

Cancel the common factor of $5$ and $10$ .

Factor $5$ out of $5$ .

$x = \frac{5 (1)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$