Solve 4x-2(1-4x)+6=8x-4(1-2x)

$$4x-2(1-4x)+6=8x-4(1-2x)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 1-4x.

$$4x-2+8x+6=8x-4\left(1-2x\right)$$

Combine 4x and 8x to get 12x.

$$12x-2+6=8x-4\left(1-2x\right)$$

Add -2 and 6 to get 4.

$$12x+4=8x-4\left(1-2x\right)$$

Use the distributive property to multiply -4 by 1-2x.

$$12x+4=8x-4+8x$$

Combine 8x and 8x to get 16x.

$$12x+4=16x-4$$

Subtract 16x from both sides.

$$12x+4-16x=-4$$

Combine 12x and -16x to get -4x.

$$-4x+4=-4$$

Subtract 4 from both sides.

$$-4x=-4-4$$

Subtract 4 from -4 to get -8.

$$-4x=-8$$

Divide both sides by -4.

$$x=\frac{-8}{-4}$$

Divide -8 by -4 to get 2.

$$x=2$$