Solve for x 15+2(3-x)=-23x

$15 + 2 (3 - x) = - 23 x$

Step 1

Simplify $15 + 2 (3 - x)$ .

Simplify each term.

Apply the distributive property.

$15 + 2 \cdot 3 + 2 (- x) = - 23 x$

Multiply $2$ by $3$ .

$15 + 6 + 2 (- x) = - 23 x$

Multiply $- 1$ by $2$ .

$15 + 6 - 2 x = - 23 x$

Add $15$ and $6$ .

$21 - 2 x = - 23 x$

Step 2

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

Add $23 x$ to both sides of the equation.

$21 - 2 x + 23 x = 0$

Add $- 2 x$ and $23 x$ .

$21 + 21 x = 0$

Step 3

Subtract $21$ from both sides of the equation.

$21 x = - 21$

Step 4

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

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

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

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 21$ by $21$ .

$x = - 1$