# Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set: 53

$x = 4$

#### Work Step by Step

$\mid$$2x - 6$$\mid$ $=$ $\mid$$10 - 2x$$\mid$ $2x - 6 = 10 - 2x$ $4x = 16$ $x = 4$ $\mid$$2x - 6$$\mid$ $=$ $\mid$$10 - 2x$$\mid$ $2x - 6 = -10 +2x$ $0 = -4$ $\varnothing$ Therefore, $x = 4$ is the only answer.

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