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Step-by-Step Solution

Step 1: Identify the Problem

Solve for x: 2x + 5 = 13

Step 2: Isolate the Variable

Subtract 5 from both sides: 2x + 5 - 5 = 13 - 5

Simplify: 2x = 8

Step 3: Solve for x

Divide both sides by 2: 2x/2 = 8/2

Simplify: x = 4

Step 4: Verify the Solution

Substitute x = 4 back into the original equation: 2(4) + 5 = 8 + 5 = 13

The solution is correct.

JS

John Smith

Math Tutor • Online

Hello! I see you're working on solving linear equations. How can I help you today?
I don't understand why we subtract 5 from both sides in step 2.
Great question! We subtract 5 from both sides to maintain the balance of the equation. Think of it like a scale - whatever you do to one side, you must do to the other to keep it balanced.
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