Question

1. \\(\frac{2x}{3} - 12 = 16\\)

Explanation:

Step1: Add 12 to both sides

To isolate the term with \( x \), we add 12 to both sides of the equation \(\frac{2x}{3}-12 = 16\).

$$ \frac{2x}{3}-12 + 12=16 + 12 $$

Simplifying both sides, we get \(\frac{2x}{3}=28\).

Step2: Multiply both sides by 3

To get rid of the denominator 3, we multiply both sides of the equation \(\frac{2x}{3}=28\) by 3.

$$ \frac{2x}{3}\times3 = 28\times3 $$

Simplifying, we have \(2x = 84\).

Step3: Divide both sides by 2

To solve for \( x \), we divide both sides of the equation \(2x = 84\) by 2.

$$ \frac{2x}{2}=\frac{84}{2} $$

Simplifying, we find \(x = 42\).

Answer:

\(x = 42\)