# Chapter 1 - Equations and Inequalities - 1.1 Linear Equations - 1.1 Exercises: 27

$x=12$

#### Work Step by Step

Multiply $6$ to both sides of the equation to obtain: $6(0.5x+\frac{4}{3}x=6(x+10)$ Distribute $6$ to obtain: $6(0.5x)+6(\frac{4}{3}x)=6(x) + 6(10) \\3x+8x=6x+60 \\11x=6x+60$ Subtract $6x$ to both sides: $11x-6x=6x+60-6x \\5x=60$ Divide $5$ to both sides: $\dfrac{5x}{5} = \dfrac{60}{5} \\x=12$

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