Solve for x 4.2(15+5x)=-20x-21-x

$4.2 (15 + 5 x) = - 20 x - 21 - x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 20 x - 21 - x = 4.2 (15 + 5 x)$

Subtract $x$ from $- 20 x$ .

$- 21 x - 21 = 4.2 (15 + 5 x)$

Simplify $4.2 (15 + 5 x)$ .

Apply the distributive property.

$- 21 x - 21 = 4.2 \cdot 15 + 4.2 (5 x)$

Multiply.

Multiply $4.2$ by $15$ .

$- 21 x - 21 = 63 + 4.2 (5 x)$

Multiply $5$ by $4.2$ .

$- 21 x - 21 = 63 + 21 x$

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

Subtract $21 x$ from both sides of the equation.

$- 21 x - 21 - 21 x = 63$

Subtract $21 x$ from $- 21 x$ .

$- 42 x - 21 = 63$

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

Add $21$ to both sides of the equation.

$- 42 x = 63 + 21$

Add $63$ and $21$ .

$- 42 x = 84$

Divide each term in $- 42 x = 84$ by $- 42$ and simplify.

Divide each term in $- 42 x = 84$ by $- 42$ .

$\frac{- 42 x}{- 42} = \frac{84}{- 42}$

Simplify the left side.

Cancel the common factor of $- 42$ .

Cancel the common factor.

$\frac{- 42 x}{- 42} = \frac{84}{- 42}$

Divide $x$ by $1$ .

$x = \frac{84}{- 42}$

Simplify the right side.

Divide $84$ by $- 42$ .

$x = - 2$