Question

tell whether each equation has one solution, no solution, or an infinite number of solutions
8
3\left(4 - \frac{1}{3}x\
ight) = -2x - 10 + x
answer:
\boxed{}
no solution
one solution
infinitely many solutions

Explanation:

Step1: Expand left-hand side

$3\times4 - 3\times\frac{1}{3}x = 12 - x$

Step2: Simplify right-hand side

$-2x - 10 + x = -x - 10$

Step3: Set sides equal, solve

$12 - x = -x - 10$
Add $x$ to both sides: $12 = -10$

Answer:

no solution