Solve for x x+20=4x-5

$x + 20 = 4 x - 5$

Step 1

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

Subtract $4 x$ from both sides of the equation.

$x + 20 - 4 x = - 5$

Subtract $4 x$ from $x$ .

$- 3 x + 20 = - 5$

Step 2

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

Subtract $20$ from both sides of the equation.

$- 3 x = - 5 - 20$

Subtract $20$ from $- 5$ .

$- 3 x = - 25$

Step 3

Divide each term in $- 3 x = - 25$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 25$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 25}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 25}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 25}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{25}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{25}{3}$

Decimal Form:

$x = 8.\overline{3}$

Mixed Number Form:

$x = 8 \frac{1}{3}$