Solve for x -31-4x=-5-5(1+5x)

$- 31 - 4 x = - 5 - 5 (1 + 5 x)$

Step 1

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

Simplify each term.

Apply the distributive property.

$- 31 - 4 x = - 5 - 5 \cdot 1 - 5 (5 x)$

Multiply $- 5$ by $1$ .

$- 31 - 4 x = - 5 - 5 - 5 (5 x)$

Multiply $5$ by $- 5$ .

$- 31 - 4 x = - 5 - 5 - 25 x$

Subtract $5$ from $- 5$ .

$- 31 - 4 x = - 10 - 25 x$

Step 2

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

Add $25 x$ to both sides of the equation.

$- 31 - 4 x + 25 x = - 10$

Add $- 4 x$ and $25 x$ .

$- 31 + 21 x = - 10$

Step 3

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

Add $31$ to both sides of the equation.

$21 x = - 10 + 31$

Add $- 10$ and $31$ .

$21 x = 21$

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 $21$ .

$x = 1$