Solve for x -105=-5(1-4x)

$- 105 = - 5 (1 - 4 x)$

Step 1

Rewrite the equation as $- 5 (1 - 4 x) = - 105$ .

$- 5 (1 - 4 x) = - 105$

Step 2

Divide each term in $- 5 (1 - 4 x) = - 105$ by $- 5$ and simplify.

Divide each term in $- 5 (1 - 4 x) = - 105$ by $- 5$ .

$\frac{- 5 (1 - 4 x)}{- 5} = \frac{- 105}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 (1 - 4 x)}{- 5} = \frac{- 105}{- 5}$

Divide $1 - 4 x$ by $1$ .

$1 - 4 x = \frac{- 105}{- 5}$

Simplify the right side.

Divide $- 105$ by $- 5$ .

$1 - 4 x = 21$

Step 3

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

Subtract $1$ from both sides of the equation.

$- 4 x = 21 - 1$

Subtract $1$ from $21$ .

$- 4 x = 20$

Step 4

Divide each term in $- 4 x = 20$ by $- 4$ and simplify.

Divide each term in $- 4 x = 20$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{20}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{20}{- 4}$

Divide $x$ by $1$ .

$x = \frac{20}{- 4}$

Simplify the right side.

Divide $20$ by $- 4$ .

$x = - 5$