Solve for x 27-2x=2(x+1)

$27 - 2 x = 2 (x + 1)$

Step 1

Simplify $2 (x + 1)$ .

Rewrite.

$27 - 2 x = 0 + 0 + 2 (x + 1)$

Simplify by adding zeros.

$27 - 2 x = 2 (x + 1)$

Apply the distributive property.

$27 - 2 x = 2 x + 2 \cdot 1$

Multiply $2$ by $1$ .

$27 - 2 x = 2 x + 2$

Step 2

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

Subtract $2 x$ from both sides of the equation.

$27 - 2 x - 2 x = 2$

Subtract $2 x$ from $- 2 x$ .

$27 - 4 x = 2$

Step 3

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

Subtract $27$ from both sides of the equation.

$- 4 x = 2 - 27$

Subtract $27$ from $2$ .

$- 4 x = - 25$

Step 4

Divide each term in $- 4 x = - 25$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 25$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 25}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 25}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 25}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{25}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{25}{4}$

Decimal Form:

$x = 6.25$

Mixed Number Form:

$x = 6 \frac{1}{4}$