Solve 4-2(x+3)=4(x-5)

$$4-2(x+3)=4(x-5)$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+3.

$$4-2x-6=4\left(x-5\right)$$

Subtract 6 from 4 to get -2.

$$-2-2x=4\left(x-5\right)$$

Use the distributive property to multiply 4 by x-5.

$$-2-2x=4x-20$$

Subtract 4x from both sides.

$$-2-2x-4x=-20$$

Combine -2x and -4x to get -6x.

$$-2-6x=-20$$

Add 2 to both sides.

$$-6x=-20+2$$

Add -20 and 2 to get -18.

$$-6x=-18$$

Divide both sides by -6.

$$x=\frac{-18}{-6}$$

Divide -18 by -6 to get 3.

$$x=3$$