Solve for x : \sf \: \: \: \: \: \: \: \: \: \: \: 29x + x = 30 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\…

Question

Solve for x :


`\sf \: \: \: \: \: \: \: \: \: \: \: 29x + x = 30`



`\tiny \sf bluh... \: \: so \: \: boring`
​

Answer 1

x = 1

Explanation:

Step 1: Combine like terms.

• 
  `(29x + x) = (30)`
• 
  `30x=30`

Step 2: Divide both sides by 30.

• 
  `30x/30=30/30`
• 
  `x=1`

Step 3: Check if solution is correct.

• 
  `29(1)+(1)=30`
• 
  `29+1=30`
• 
  `30=30`

Therefore, x = 1.

Answer 2

Solution: X=1

`\searrow`

Detailed explanation:

Here we need to solve for x. x is our unknown. It's what we should find.

`\searrow`

Note right up front that we can add the x's. This is a process that is known as "Combining Like Terms". We can combine them by adding, like here.

`\twoheadrightarrow\sf 29x+x=30`

"x" is the same as 1x.

`\twoheadrightarrow\sf 30x=30`

We're getting closer to finding the value of the unknown!

Now we know that if we multiply 30 times the unknown, we will get 30.

What will we get if we multiply 1 times the unknown? 1 is what we will obtain upon dividing by 30.

So our unknown, or x, is 1.

Voila! There's our answer!

Cheers! ^-^

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Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

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