Solve 2(x-2)-4=-2(-7x+1)-3x

$$2(x-2)-4=-2(-7x+1)-3x$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-2.

$$2x-4-4=-2\left(-7x+1\right)-3x$$

Subtract 4 from -4 to get -8.

$$2x-8=-2\left(-7x+1\right)-3x$$

Use the distributive property to multiply -2 by -7x+1.

$$2x-8=14x-2-3x$$

Combine 14x and -3x to get 11x.

$$2x-8=11x-2$$

Subtract 11x from both sides.

$$2x-8-11x=-2$$

Combine 2x and -11x to get -9x.

$$-9x-8=-2$$

Add 8 to both sides.

$$-9x=-2+8$$

Add -2 and 8 to get 6.

$$-9x=6$$

Divide both sides by -9.

$$x=\frac{6}{-9}$$

Reduce the fraction \frac{6}{-9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{2}{3}$$