Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)

Let's solve all equations.

First one

4x + 12 + 2x = 6x + 12 (delete both 12, they have the same sign BUT they are in opposite position to the equal)

4x + 2x - 6x = 0

6x - 6x = 0

0x = 0 (it is indeterminated, there are many infinite solutions)

Second one

5 + 6 + 4x = x + 3x + 3

4x - x - 3x = 3 - 5 - 6

0x = -8 (impossible)

Third one

5(x+3) + x = 4(x+3) + 3

5x + 15 + x = 4x + 12 + 3

5x + x - 4x = 12 + 3 - 15

2x = 0

x = 0 (final answer)

Last one

4 + 12 + 6x = 6x + 16 (delete both 6x)

0x = 16 - 4 - 12

0x = 0 (many infinite solutions)



Answer B, the second expression

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