## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Lesson Check: 4

#### Answer

There is no solution.

#### Work Step by Step

$4x-5=2(2x+1) \\\\ 4x-5=4x+2 \\\\-5=2$ We first distribute the 2 on the right side of the equation. We then subtract by 4x on both sides and find that $-5=2$. This is not true, so there is no solution to the equation.

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