Question #fe09d

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Answer 1 · 2018-01-03T18:07:57

The number is 8.

Let #x# be the number.

"8 less than 3 times a number" can be written as #3x-8#

"the sum of 12 and one-half the number" can be written as #12+1/2x#.

Since these are equal we can write:

#3x-8=12+1/2x#

Add 8 to both sides:

#3x=20+1/2x#

Subtract #1/2x# from both sides:

#5/2x=20#

Multiply both sides by 2:

#5x=40#

Divide both sides by 5:

#x=8#.