Solve for x 2x=4(x-2)+3

$2 x = 4 (x - 2) + 3$

Simplify $4 (x - 2) + 3$ .

Simplify each term.

Apply the distributive property.

$2 x = 4 x + 4 \cdot - 2 + 3$

Multiply $4$ by $- 2$ .

$2 x = 4 x - 8 + 3$

Add $- 8$ and $3$ .

$2 x = 4 x - 5$

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

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

$2 x - 4 x = - 5$

Subtract $4 x$ from $2 x$ .

$- 2 x = - 5$

Divide each term in $- 2 x = - 5$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 5$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Dividing two negative values results in a positive value.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 2.5$

Mixed Number Form:

$x = 2 \frac{1}{2}$