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14 votes
14 votes
What is the next step in solving this equation?

13-2(5x+1)=2-4x+3
13-10x -2=2-4x+3
11-10x=5-4x

answer choices
A. Subtract 5 from the left side

B. Add 10x to both sides

C. Subtract 11 from the right side

D. Subtract 4x from both sides

User Mert Sevinc
by
2.9k points

1 Answer

15 votes
15 votes

Answer:

B.

Explanation:

remember, solving this means to get the variable alone on one side (it does not matter which side), and everything else on the other side.

but whatever changes we do (except for just completing local operations that were already there), we always have to do them to both sides to keep the equality alive. if we introduce a change of quantity on one side only, we break the equality, and we will not get a valid result anymore.

A. subtract 5 from the left side : no, it changes only the left side. the equality is broken.

B. add 10x to both sides. yes, it applies the change to both sides and will bring all terms of x to one side. perfect.

C. subtract 11 from the right side. no, it changes only the right side. the equality is broken.

D. subtract 4x from both sides. no. it does change both sides and keeps the equality, true, but it does not help us in solving the equation. it still keeps a mixture of x terms and constant terms on both sides. nothing changes in the structure.

User Jetpackpony
by
3.0k points
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