Introductory Algebra for College Students (7th Edition)

$$x = 4$$
First, we use distributive property to simplify: $$2 - (4)(x) - (4)(2) = 5 - (3)(2x) - (3)(1)$$ Multiply: $$2 - 4x - 8 = 5 - 6x - 3$$ Now, we group like terms: $$(2 - 8) - 4x = (5 - 3) - 6x$$ Combine like terms: $$-6 - 4x = 2 - 6x$$ Add $6x$ to each side to move the variable to one side of the equation: $$-6 + 2x = 2$$ Add $6$ to each side of the equation to move constants to the other side of the equation: $$2x = 8$$ Divide each side by $2$ to solve for $x$: $$x = 4$$