4x plus 6 equals 6x-12

Answer 1

Given, that

4x + 6 = 6x - 12; then,

(6x - 12) - (4x + 6) = 0,

2x - 18 = 0, and

2x = 18.

Thus, x = 9.

Checking, we substitute 9 for x in the equation:

4(9) + 6= 6(9) - 12; whence,

36 + 6 = 54 - 12, and

42 = 42, which is patently true.

What this means is that the original equation is true exactly when x = 9; otherwise, it is false. We call 'x = 9' the solution to the given equation.