Solve 2(10-4x)=-2(6+2x)

$$2 ( 10 - 4 x ) = - 2 ( 6 + 2 x )$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 10-4x.

$$20-8x=-2\left(6+2x\right)$$

Use the distributive property to multiply -2 by 6+2x.

$$20-8x=-12-4x$$

Add 4x to both sides.

$$20-8x+4x=-12$$

Combine -8x and 4x to get -4x.

$$20-4x=-12$$

Subtract 20 from both sides.

$$-4x=-12-20$$

Subtract 20 from -12 to get -32.

$$-4x=-32$$

Divide both sides by -4.

$$x=\frac{-32}{-4}$$

Divide -32 by -4 to get 8.

$$x=8$$