Okay, so I've been stuck on a math question for a while now, and I can't seem to figure it out for the life of me. This is kind of embarrassing, considering it looks so simple, but I keep plugging in so many different numbers with none of them making the inequality even. I'm not even necessarily asking for the answer, just some tips on how to solve this would work. A step-by-step would work too! I want to be able to understand this.
Lots of other auto-generated sources are telling me that x = 2, but whenever I try to plug in 2, it still doesn't work. Please help!

12(x − 2) + 3x = 1/2(x + 6) + 2

Answers

Answered by Ms. Sue
12(x − 2) + 3x = 1/2(x + 6) + 2
12x - 24 + 3x = 1/2x + 3 + 2
Combine like terms.
15x - 1/2x = 24 + 5
14 1/2x = 29
x = 29/14 1/2
x = 2

Answered by R_scott
distribute the coefficients ... 12x - 24 + 3x = 1/2 x + 3 + 2

collect like terms ... 15x - 24 = 1/2 x + 5

solve ... 29/2 x = 29

yes , x does equal 2
Answered by oobleck
Huh? Try x=2
12(x − 2) + 3x = 1/2(x + 6) + 2
x-2=0, so
3*2 = 1/2 (2+6) + 2
6 = 4+2
seems legit to me
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