Question

solve for a.
\\(\frac{4}{5}a - 8 = a + 2\\)
\\(a = \square\\)

Explanation:

Step1: Eliminate fraction by multiplying all terms by 5

Multiply each term in the equation \(\frac{4}{5}a - 8 = a + 2\) by 5 to get rid of the fraction. So we have \(5\times\frac{4}{5}a - 5\times8 = 5\times a + 5\times2\), which simplifies to \(4a - 40 = 5a + 10\).

Step2: Move all a terms to one side and constants to the other

Subtract \(4a\) from both sides: \(4a - 4a - 40 = 5a - 4a + 10\), which gives \(-40 = a + 10\). Then subtract 10 from both sides: \(-40 - 10 = a + 10 - 10\).

Step3: Calculate the value of a

Simplify the left side: \(-50 = a\).

Answer:

\(-50\)