Solve for x 43-4x=52-2x

$43 - 4 x = 52 - 2 x$

Step 1

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

Add $2 x$ to both sides of the equation.

$43 - 4 x + 2 x = 52$

Add $- 4 x$ and $2 x$ .

$43 - 2 x = 52$

Step 2

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

Subtract $43$ from both sides of the equation.

$- 2 x = 52 - 43$

Subtract $43$ from $52$ .

$- 2 x = 9$

Step 3

Divide each term in $- 2 x = 9$ by $- 2$ and simplify.

Divide each term in $- 2 x = 9$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{9}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{9}{- 2}$

Divide $x$ by $1$ .

$x = \frac{9}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{9}{2}$

Decimal Form:

$x = - 4.5$

Mixed Number Form:

$x = - 4 \frac{1}{2}$