Question

Solve the following equation

6x-1=3 (2x+4)-1

Answer 1

no solution

Explanation:

6x - 1 = 3(2x + 4) - 1 use the distributive property a(b + c) = ab + ac

6x - 1 = (3)(2x) + (3)(4) + 1

6x - 1 = 6x + 12 + 1 subtract 6x from both sides

6x - 6x - 1 = 6x - 6x + 13

-1 = 13 FALSE

Answer 2

`6x - 1 = 3(2x + 4) - 1`
Distribute

`6x - 1 = 6x + 12 - 1`
Combine like terms

`6x - 1 = 6x + 11`
Add 1 and subtract 6x from each side
0 = 12
The equation has no real solution