What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
o 3
04
05

x=52

Step-by-step explanation:

5(x+4)-3=4.5(x-2)

We move all terms to the left:

5(x+4)-3-(4.5(x-2))=0

We multiply parentheses

5x-(4.5(x-2))+20-3=0

We calculate terms in parentheses: -(4.5(x-2)), so:

4.5(x-2)

We multiply parentheses

4.5x-9

Back to the equation:

-(4.5x-9)

We add all the numbers together, and all the variables

5x-(4.5x-9)+17=0

We get rid of parentheses

5x-4.5x+9+17=0

We add all the numbers together, and all the variables

0.5x+26=0

We move all terms containing x to the left, all other terms to the right

0.5x=-26

x=-26/0.5

x=-52

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