Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises - Page 240: 21

x=3

Simplifying -7x + 18 = 11x + -36 Reorder the terms: 18 + -7x = 11x + -36 Reorder the terms: 18 + -7x = -36 + 11x Solving 18 + -7x = -36 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + -7x + -11x = -36 + 11x + -11x Combine like terms: -7x + -11x = -18x 18 + -18x = -36 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -18x = -36 + 0 18 + -18x = -36 Add '-18' to each side of the equation. 18 + -18 + -18x = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = -36 + -18 -18x = -36 + -18 Combine like terms: -36 + -18 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3