117k views
2 votes
Explain why the equation 2(3x - 5) = 6x + 8 has no solutions.

User Sandra
by
5.2k points

2 Answers

6 votes

Answer:

- 5 does not equal 8

Explanation:

Distribute the 2 to get 6x - 5 = 6x +8

6x - 5 = 6x + 8

subtract 6x on both sides you are left with -5 = 8 which is not a true statment.

Since the equation leads to a statment that isn't true, there is no solution.

User Engelen
by
5.4k points
1 vote

Answer:

Look at step-by-step solution

Explanation:

2(3x-5)=6x+8

First start by dividing two from the left side:

3x-5=3x+4

From there add five and subtracted 3x from both sides:

0=9

Since zero does not equal nine, there is no solution.

User Dhaval Dalsania
by
5.3k points
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