## Introductory Algebra for College Students (7th Edition)

$$x = 0$$
For this problem, we use distributive property first: $$(4)(x) + (4)(-2) = (2)(x) + (2)(-4) + 3x$$ We multiply the terms: $$4x - 8 = 2x - 8 + 3x$$ Group like terms on the right side of the equation: $$4x - 8 = (2x + 3x) - 8$$ Combine like terms: $$4x - 8 = 5x - 8$$ Subtract $5x$ from each side of the equation to isolate the variable to one side of the equation: $$-x - 8 = -8$$ Add $8$ to both sides to move the constants to one side: $$-x = 0$$ Divide both sides by $-1$ to isolate $x$: $$x = 0$$