Solve for x -4(x-2)=-2(x-17/2)

$- 4 (x - 2) = - 2 (x - \frac{17}{2})$

Step 1

Simplify $- 4 (x - 2)$ .

Start simplifying.

$0 + 0 - 4 (x - 2) = - 2 (x - \frac{17}{2})$

Simplify by adding zeros.

$- 4 (x - 2) = - 2 (x - \frac{17}{2})$

Apply the distributive property.

$- 4 x - 4 \cdot - 2 = - 2 (x - \frac{17}{2})$

Multiply $- 4$ by $- 2$ .

$- 4 x + 8 = - 2 (x - \frac{17}{2})$

Step 2

Simplify $- 2 (x - \frac{17}{2})$ .

Apply the distributive property.

$- 4 x + 8 = - 2 x - 2 (- \frac{17}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{17}{2}$ into the numerator.

$- 4 x + 8 = - 2 x - 2 (\frac{- 17}{2})$

Factor $2$ out of $- 2$ .

$- 4 x + 8 = - 2 x + 2 (- 1) \frac{- 17}{2}$

Cancel the common factor.

$- 4 x + 8 = - 2 x + 2 \cdot - 1 \frac{- 17}{2}$

Rewrite the expression.

$- 4 x + 8 = - 2 x - 1 \cdot - 17$

Multiply $- 1$ by $- 17$ .

$- 4 x + 8 = - 2 x + 17$

Step 3

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

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

$- 4 x + 8 + 2 x = 17$

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

$- 2 x + 8 = 17$

Step 4

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

Subtract $8$ from both sides of the equation.

$- 2 x = 17 - 8$

Subtract $8$ from $17$ .

$- 2 x = 9$

Step 5

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 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 4.5$

Mixed Number Form:

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

Solve for x -4(x-2)=-2(x-17/2)

Related Questions

Support LCMGCF.com by disabling your adblocker.