Solve for x 20=3-5(x+1)

$20 = 3 - 5 (x + 1)$

Step 1

Rewrite the equation as $3 - 5 (x + 1) = 20$ .

$3 - 5 (x + 1) = 20$

Step 2

Simplify $3 - 5 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$3 - 5 x - 5 \cdot 1 = 20$

Multiply $- 5$ by $1$ .

$3 - 5 x - 5 = 20$

Subtract $5$ from $3$ .

$- 5 x - 2 = 20$

Step 3

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

Add $2$ to both sides of the equation.

$- 5 x = 20 + 2$

Add $20$ and $2$ .

$- 5 x = 22$

Step 4

Divide each term in $- 5 x = 22$ by $- 5$ and simplify.

Divide each term in $- 5 x = 22$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{22}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{22}{- 5}$

Divide $x$ by $1$ .

$x = \frac{22}{- 5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{22}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{22}{5}$

Decimal Form:

$x = - 4.4$

Mixed Number Form:

$x = - 4 \frac{2}{5}$