Question

How many solutions are there to the equation below?
6x +33 = 6(x+6)

Answer 1

no solutions

Explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

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Answer 2

no solution

Explanation:

6x + 33 = 6x + 36

33 ≠ 36