What is the answer to this problem 1.5(x + 4) – 3 = 4.5(x – 2)?
2 answers:
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2)
Distributive property
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
1.5x - 4.5x = -9 -3
-3x = -12
x = 4
Expand
1.5x + 6 - 3 = 4.5x - 9
Simplify 1.5x + 6 - 3 to 1.5x + 3
1.5x + 3 = 4.5x - 9
Subtract 1.5x from both sideds
3 = 4.5x - 9 - 1.5x
Simplify 4.5x - 9 - 1.5x to 3x - 9
3 = 3x - 9
Add 9 to both sides
3 + 9 = 3x
Simplify 3 + 9 to 12
12 = 3x
Divide both sides by 3
12/3 = x
Simplify 12/3 to 4
4 = x
Switch sides
<u>x = 4</u>
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