Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises - Page 240: 22

x=-6

Simplifying 4x + 5 = 2x + -7 Reorder the terms: 5 + 4x = 2x + -7 Reorder the terms: 5 + 4x = -7 + 2x Solving 5 + 4x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = -7 + 0 5 + 2x = -7 Add '-5' to each side of the equation. 5 + -5 + 2x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -7 + -5 2x = -7 + -5 Combine like terms: -7 + -5 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6