Let’s solve the equation step by step.
We are given:
3x + 2 = x - 6
Our goal is to find the value of
x that makes this equation true.
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Step 1: Get all the x terms on one side
Right now, we have
3x on the left and
x on the right. Let’s subtract
x from both sides to move all x terms to the left.
→ 3x + 2 - x = x - 6 - x
→ (3x - x) + 2 = -6
→
2x + 2 = -6
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Step 2: Get rid of the constant on the left side
We have
+2 on the left. Let’s subtract 2 from both sides to isolate the term with x.
→ 2x + 2 - 2 = -6 - 2
→
2x = -8
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Step 3: Solve for x
Now divide both sides by 2 to get x alone.
→ 2x ÷ 2 = -8 ÷ 2
→
x = -4
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Check your answer (always a good idea!)
Plug
x = -4 back into the original equation:
Left side: 3(-4) + 2 = -12 + 2 =
-10
Right side: (-4) - 6 =
-10
Both sides equal -10 →
✔ Correct!
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Final Answer:
-4
Parent Tip: Review the logic above to help your child master the concept of solving equations with algebra tiles worksheet.
