Solve for x 3(x-4)+10=13-x

$3 (x - 4) + 10 = 13 - x$

Simplify $3 (x - 4) + 10$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot - 4 + 10 = 13 - x$

Multiply $3$ by $- 4$ .

$3 x - 12 + 10 = 13 - x$

Add $- 12$ and $10$ .

$3 x - 2 = 13 - x$

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

Add $x$ to both sides of the equation.

$3 x - 2 + x = 13$

Add $3 x$ and $x$ .

$4 x - 2 = 13$

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

Add $2$ to both sides of the equation.

$4 x = 13 + 2$

Add $13$ and $2$ .

$4 x = 15$

Divide each term in $4 x = 15$ by $4$ and simplify.

Divide each term in $4 x = 15$ by $4$ .

$\frac{4 x}{4} = \frac{15}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{15}{4}$

Divide $x$ by $1$ .

$x = \frac{15}{4}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{15}{4}$

Decimal Form:

$x = 3.75$

Mixed Number Form:

$x = 3 \frac{3}{4}$