The property states that you can divide both sides of an equation by the same number (of course it can't be zero). So, since we want to solve for [tex] x [/tex], but the equation involves [tex] 5x [/tex], if we divided both sides by [tex] 5 [/tex] we would isolate [tex] x [/tex]. In fact, the equation becomes
[tex] \frac{5x}{5} = \frac{40}{5} \iff x=8 [/tex]
And we have solved the equation, because we found the correct value of [tex] x [/tex].
Emma can solve the given equation by making use of the properties of
equality to make x the subject of the equation.
The value of x is 8
Reasons:
The given expression is 5·(x - 2) = 30
The steps are;
Step 1. 5·(x - 2) = 5·x - 10 = 30 (Distributive property of equality)
Step 2. 5·x - 10 + 10 = 30 + 10 ⇒ 5·x = 40 (Addition property of equality)
Step 3. [tex]\dfrac{5 \cdot x}{5} = \dfrac{40}{5} \Rightarrow x = 8[/tex] (Division property of equality)
The value of x = 8
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https://brainly.com/question/1951984
