What value of x satisfies the equation below? 12 (x − 2) + 3x = 1/2 (x + 6) + 2

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asked Jan 20, 2022 23.0k views

4 votes

What value of x satisfies the equation below?
12 (x − 2) + 3x = 1/2 (x + 6) + 2

Mathematics
high-school

Adrianm asked

by Adrianm

4.4k points

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1 Answer

2 votes

Answer:

Explanation:

$12(x-2)+3x = (1)/(2)(x+6)+2\\\\12*x-12*2+3x=(1)/(2)x+(1)/(2)*6+2\\\\12x - 24+3x =(1)/(2)x+1*3+2\\\\15x - 24 = (1)/(2)x+3+2\\\\15x-24=(1)/(2)x+5\\\\15x-(1)/(2)x-24=5\\\\(15*2)/(1*2)x-(1)/(2)x=5+24\\\\(30)/(2)x-(1)/(2)x=29\\\\(29)/(2)x=29\\\\x=29*(2)/(29)\\\\x=2$