Solve -1/2(-4+2x)=-6-4x

$$- \frac { 1 } { 2 } ( - 4 + 2 x ) = - 6 - 4 x$$

Solve for x

$$x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{2} by -4+2x.

$$-\frac{1}{2}\left(-4\right)-\frac{1}{2}\times 2x=-6-4x$$

Express -\frac{1}{2}\left(-4\right) as a single fraction.

$$\frac{-\left(-4\right)}{2}-\frac{1}{2}\times 2x=-6-4x$$

Multiply -1 and -4 to get 4.

$$\frac{4}{2}-\frac{1}{2}\times 2x=-6-4x$$

Divide 4 by 2 to get 2.

$$2-\frac{1}{2}\times 2x=-6-4x$$

Cancel out 2 and 2.

$$2-x=-6-4x$$

Add 4x to both sides.

$$2-x+4x=-6$$

Combine -x and 4x to get 3x.

$$2+3x=-6$$

Subtract 2 from both sides.

$$3x=-6-2$$

Subtract 2 from -6 to get -8.

$$3x=-8$$

Divide both sides by 3.

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

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

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