# Chapter 3 - Equations and Problem Solving - Chapter 3 Review Problem Set: 17

$x=10$

#### Work Step by Step

Multiplying both sides by the $LCD= -12$ and using the properties of equality, the value of the variable that satisfies the given equation, $\dfrac{x-1}{-3}=\dfrac{x+2}{-4} ,$ is \begin{array}{l}\require{cancel} 4(x-1)=3(x+2) \\\\ 4x-4=3x+6 \\\\ 4x-3x=6+4 \\\\ x=10 .\end{array}

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