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

$$x = 2$$
Use distributive property first, according to order of operations: $$(2)(x) + (2)(-3) + 5x = (8)(x) + (8)(-1)$$ Multiply the terms out to simplify: $$2x - 6 + 5x = 8x - 8$$ Group like terms: $$(2x + 5x) - 6 = 8x - 8$$ Combine like terms: $$7x - 6 = 8x - 8$$ Subtract $8x$ from both sides to isolate the variable to one side of the equation: $$-x - 6 = -8$$ Add $6$ to both sides of the equation to isolate constants to the other side of the equation: $$-x = -2$$ Divide each side of the equation by $-1$ to solve for $x$: $$x = 2$$