Question

What value of x makes this equation true 3(4x-2)=27

Answer 1

x = 2.75

Explanation:

3 (4x - 2) =27

12x - 6 = 27

+6 +6

12x = 33

33 / 12 = 2.75

Answer 2

Hey there!

Distribute
`\bf{3}` within the parentheses!

`\bold{3(4x - 2)=27}\\ \bold{3(4x) +3(-2)}\\ \bf{3(4x) =12x}\\ \bf{3(-2)=-6`

NEW EQUATION

`\bold{12x -6 = 27}`

Add by
`\bold{6}` on BOTH SIDES

`\bf{12x-6+6=27+6}`

CANCEL out:
`\bf{-6+6` because that gives you
`\bf{0}`

KEEP:
`\bf{27 +6}` because it helps us solve for your
`\bf{x}`

“
`\bf{27+6=33}`”

NEW EQUATION

`\bf{12x=33}`

DIVIDE by
`\bf{12}` on BOTH SIDES

`\bf{(12x)/(12) =(33)/(12)}`

CANCEL out:
`\bf{(12x)/(12)}` because that gives you
`\bf{1}`

KEEP:
`\bf{(33)/(12)}` because it gives you your
`\bf{x}`

`\bf{(33)/(12)=(11)/(4)}`

`\boxed{\bold{Answer: x = (11)/(4)}}\checkmark`

Good luck on your assignment and enjoy your day!

~
`\frak{LoveYourselfFirst:)}`