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What is 1/2x = 3/4(x-2)?

User Sep
by
7.2k points

2 Answers

4 votes

Answer:

x = 6

Explanation:

1/2x = 3/4(x-2)

x/2 = 3/2^2(x-2)

x/2 = 3(x-2)/2^2

2x = 3x - 3 x 2

2x = 3x - 6

2x + (-3x) = (3x - 6)

-x = (3x - 6) - 3x

-x = 3x - 6 - 3x

-x = 3x - 3x - 6

-x = -6

x = 6

User Foc
by
7.4k points
3 votes

Answer:

x = 6

Explanation:


(1)/(2)x =
(3)/(4)(x-2)

simplify:


(x)/(2) =
(3(x-2))/(4)

multiply both sides by 4:

2x = 3(x-2)

expand:

2x = 3x - 6

subtract 3x from both sides:

-x = -6

divide both sides by -1:

x = 6

User Amitesh
by
8.7k points

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