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Question

Solve each multi-step equation. m+3(m+1)=11-m+3(m+1)=11

Solution

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To solve an equation, we isolate the variable using different properties of equality.

We are given the equation::

m+3(m+1)=11-m+3(m+1)=11

Use the distributive property: a(b+c)=ab+aca(b+c)=ab+ac

m+3m+3=11-m+3m+3=11

2m+3=112m+3=11

Subtract 33 from both sides:

2m+33=1132m+3-3=11-3

2m=82m=8

Divide both sides by 22:

2m2=82\dfrac{2m}{2}=\dfrac{8}{2}

m=4\color{#c34632}m=4

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