## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 243: 55

x=0

#### Work Step by Step

Simplifying -6(x + -5) + 3x = 6x + -10(-3 + x) Reorder the terms: -6(-5 + x) + 3x = 6x + -10(-3 + x) (-5 * -6 + x * -6) + 3x = 6x + -10(-3 + x) (30 + -6x) + 3x = 6x + -10(-3 + x) Combine like terms: -6x + 3x = -3x 30 + -3x = 6x + -10(-3 + x) 30 + -3x = 6x + (-3 * -10 + x * -10) 30 + -3x = 6x + (30 + -10x) Reorder the terms: 30 + -3x = 30 + 6x + -10x Combine like terms: 6x + -10x = -4x 30 + -3x = 30 + -4x Add '-30' to each side of the equation. 30 + -30 + -3x = 30 + -30 + -4x Combine like terms: 30 + -30 = 0 0 + -3x = 30 + -30 + -4x -3x = 30 + -30 + -4x Combine like terms: 30 + -30 = 0 -3x = 0 + -4x -3x = -4x Solving -3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3x + 4x = -4x + 4x Combine like terms: -3x + 4x = 1x 1x = -4x + 4x Combine like terms: -4x + 4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0

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