Answer:
x = 10
Step-by-step explanation:
Given the problem, [tex]\frac{4(3x - 2)}{8} = 14[/tex]
To solve for x, we must first eliminate the fraction by multiplying both sides of the equation by 8 (or [tex]\frac{8}{1}[/tex] ):
[tex](8) \frac{4(3x - 2)}{8} = 14 (8)[/tex]
4(3x - 2) = 112
Next, divide both sides of the equation by 4:
[tex]\frac{4(3x - 2)}{4} = \frac{112}{4}[/tex]
3x - 2 = 28
Add 2 on both sides of the equation to isolate 3x:
3x - 2 + 2 = 28 + 2
3x = 30
Divide both sides of the equation by 3 to solve for x:
[tex]\frac{3x}{3} = \frac{30}{3}[/tex]
x = 10
