Final Answer:
x = 7
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Explanation:
Let’s solve the equation step by step:
We have: 3(x – 5) = 6
Step 1: Distribute the 3 to both x and –5.
That means: 3 × x = 3x, and 3 × (–5) = –15.
Now the equation becomes: 3x – 15 = 6
Step 2: Get rid of the –15 on the left side.
To do that, add 15 to both sides (because the opposite of minus is plus).
3x – 15 + 15 = 6 + 15
So now: 3x = 21
Step 3: Now get x alone.
Since 3x means 3 times x, we divide both sides by 3.
3x ÷ 3 = 21 ÷ 3
So: x = 7
That’s it! We found x = 7.
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Teach the Topic:
Solving multi-step equations is like unwrapping a present — you need to take off one layer at a time until you find what’s inside (the value of x!).
The main idea:
You want to get “x” all by itself on one side of the equals sign.
To do that, you use “opposite operations” — if something is added, you subtract; if something is multiplied, you divide.
Also remember:
Whatever you do to one side of the equation, you MUST do to the other side too. That keeps things balanced, like a scale.
Simple example:
Solve: 2x + 3 = 7
Step 1: Subtract 3 from both sides → 2x = 4
Step 2: Divide both sides by 2 → x = 2
Easy, right? You just undo each step one by one!
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Practice Task:
Solve for x: 2(x + 4) = 10
Parent Tip: Review the logic above to help your child master the concept of solving multiple step equations worksheet.
