4(x+3)=2(x-6)
4x+12=2x-12
2x+12=-12
2x=-24
x=-12
is this textbook example correct?
yes, that is correct
Yes.
To verify if the solution is correct, we need to substitute the value of x back into the original equation and check if both sides are equal.
Let's do that:
Original equation: 4(x+3) = 2(x-6)
Substituting x = -12, we get: 4(-12+3) = 2(-12-6)
Simplifying the equation, we have: 4(-9) = 2(-18)
Now, let's evaluate both sides of the equation:
Left-hand side: 4(-9) = -36
Right-hand side: 2(-18) = -36
Since both sides of the equation are equal (-36 = -36), we can conclude that the solution x = -12 is correct.
Therefore, the textbook example is correct.