Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 242: 22

x=11

Simplifying 4x + -2 = 3(25 + -1x) Reorder the terms: -2 + 4x = 3(25 + -1x) -2 + 4x = (25 * 3 + -1x * 3) -2 + 4x = (75 + -3x) Solving -2 + 4x = 75 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 4x + 3x = 75 + -3x + 3x Combine like terms: 4x + 3x = 7x -2 + 7x = 75 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 7x = 75 + 0 -2 + 7x = 75 Add '2' to each side of the equation. -2 + 2 + 7x = 75 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 75 + 2 7x = 75 + 2 Combine like terms: 75 + 2 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11