Question

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

Answer 1

Answer:

x = 2.75

Step-by-step 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

$\bf{\dfrac{12x}{12} =\dfrac{33}{12}}$

CANCEL out: $\bf{\dfrac{12x}{12}}$ because that gives you $\bf{1}$

KEEP: $\bf{\dfrac{33}{12}}$ because it gives you your $\bf{x}$

$\bf{\dfrac{33}{12}=\dfrac{11}{4}}$

$\boxed{\bold{Answer: x = \dfrac{11}{4}}}\checkmark$

Good luck on your assignment and enjoy your day!

~$\frak{LoveYourselfFirst:)}$