Question

Solve for a: a/2 - 2/3 = a + 1/5

Answer 1

Combining like terms, move the one with coefficient a to the left, and move the constant to the right
$\dfrac{a}{2} - \dfrac{2}{3} =a+ \dfrac{1}{5}$
$\dfrac{a}{2} - a =\dfrac{1}{5} + \dfrac{2}{3}$

equalize the denominators in like-terms
$\dfrac{a}{2} - \dfrac{2a}{2} =\dfrac{1 \times 3}{5 \times 3} + \dfrac{2 \times 5}{3 \times 5}$
$\dfrac{a}{2} - \dfrac{2a}{2} =\dfrac{3}{15} + \dfrac{10}{15}$

do the operation to the numerators
$\dfrac{-a}{2} =\dfrac{13}{15}$

solve for a
-a = $\dfrac{13}{15} \times 2$
-a = $\dfrac{26}{15}$
a = $- \dfrac{26}{15}$

Answer 2

The answer is 4 if I am correct