Question

6x +1.5x = 2
What is x=


Answer 1

`\boxed{x=(4)/(15),~0.2667}`

Solution Steps:

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1.) Combine 6x and 1.5x:

• 
  `6x+1.5x=7.5x`

- You combine since these are like terms.

Equation at the end of Step 1:

• 
  `7.5x=2`

2.) Divide both sides by 7.5:

• 
  `7.5x` ÷
  `7.5=x`

• 
  `2` ÷
  `7.5=`

- We divide because we want to get x alone.

Equation at the end of Step 2:

• 
  `x=(2)/(7.5)`

3.) Expand the fraction by multiplying both numerator and the denominator by 10:

• 
  `2` ×
  `10=20`

• 
  `7.5` ×
  `10=75`

- We turned this into a fraction because we couldn't divide properly.

4.) Reduce the fraction to lowest terms by extracting and canceling out 5:

• 
  `20` ÷
  `5=4`

• 
  `75` ÷
  `5=15`

- This step just means divide the lowest amount possible, which in this case is 5.

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