Question

what is the solution of the equation 8/9 ( x + 1/2) + 32 when solving for x

Answer 1

I think part of the problem is missing (an equation needs an “=” and a right-hand side). Do you mean simplify the expression, or solve 8/9(x + 1/2) + 32 = 0 (or = some constant)?

For reference:

- Simplified expression:
8/9(x + 1/2) + 32 = (8/9)x + 8/18 + 32 = (8/9)x + 4/9 + 32 = (8/9)x + 292/9.

- If the equation is 8/9(x + 1/2) + 32 = 0:
(8/9)x + 292/9 = 0 → multiply by 9: 8x + 292 = 0 → x = −292/8 = −73/2 = −36.5.

- If the equation is 8/9(x + 1/2) + 32 = C (general constant):
(8/9)x + 292/9 = C → (8/9)x = C − 292/9 → x = (9/8)(C − 292/9) = (9C)/8 − 73/2.

Tell me which right-hand side you intended and I’ll give the specific solution.