Solve for x 3x+2x+6=-15

$3 x + 2 x + 6 = - 15$

Step 1

Add $3 x$ and $2 x$ .

$5 x + 6 = - 15$

Step 2

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

Subtract $6$ from both sides of the equation.

$5 x = - 15 - 6$

Subtract $6$ from $- 15$ .

$5 x = - 21$

Step 3

Divide each term in $5 x = - 21$ by $5$ and simplify.

Divide each term in $5 x = - 21$ by $5$ .

$\frac{5 x}{5} = \frac{- 21}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 21}{5}$

Divide $x$ by $1$ .

$x = \frac{- 21}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{21}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{21}{5}$

Decimal Form:

$x = - 4.2$

Mixed Number Form:

$x = - 4 \frac{1}{5}$