What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

3
4
5
9

1 answer

5

First, distribute both 1.5 and 4.5 to their respective terms:
1.5(x) + 1.5(4) - 3 = 4.5(x) - 4.5(2)

This simplifies to:
1.5x + 6 - 3 = 4.5x - 9

Combine like terms:
1.5x + 3 = 4.5x - 9

Next, isolate x by moving all terms with x to one side of the equation:
1.5x - 4.5x = -12
-3x = -12

Divide both sides by -3 to solve for x:
x = 4
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