Question

solve for x.
\\(\frac{3x + 22}{5} = 2\\)
simplify your answer as much as possible.
\\(x = \square\\)

Explanation:

Step1: Multiply both sides by 5

To eliminate the denominator, we multiply both sides of the equation \(\frac{3x + 22}{5}=2\) by 5. This gives us \(3x + 22=2\times5\).

Step2: Simplify the right side

Calculate \(2\times5 = 10\), so the equation becomes \(3x+22 = 10\).

Step3: Subtract 22 from both sides

Subtract 22 from each side: \(3x=10 - 22\).

Step4: Simplify the right side

Calculate \(10-22=-12\), so \(3x=-12\).

Step5: Divide both sides by 3

Divide each side by 3: \(x=\frac{-12}{3}\).

Step6: Simplify the fraction

Simplify \(\frac{-12}{3}=-4\).

Answer:

\(-4\)