Question

solve for x. \\(\frac{2(x + 4)}{5} = 2\\) \\(x = ?\\)

Explanation:

Step1: Multiply both sides by 5

To eliminate the denominator, multiply both sides of the equation \(\frac{2(x + 4)}{5}=2\) by 5.

$$ 5\times\frac{2(x + 4)}{5}=2\times5 $$

Simplifying both sides, we get \(2(x + 4)=10\).

Step2: Divide both sides by 2

Divide both sides of the equation \(2(x + 4)=10\) by 2.

$$ \frac{2(x + 4)}{2}=\frac{10}{2} $$

Simplifying both sides, we get \(x + 4 = 5\).

Step3: Subtract 4 from both sides

Subtract 4 from both sides of the equation \(x + 4 = 5\) to solve for \(x\).

$$ x+4 - 4=5 - 4 $$

Simplifying both sides, we get \(x = 1\).

Answer:

\(x = 1\)