EXPLANATION
M17. Solve for x: 3(x - 2) = 2(x + 4)
a) x = -10
b) x = 10
c) x = 14
d) x = -14
ANSWER: c) x = 14
EXPLANATION:
To solve the equation 3(x - 2) = 2(x + 4) for x, we can start by simplifying both sides of the equation.
Expanding the parentheses:
3x - 6 = 2x + 8
Next, let's isolate the x terms on one side of the equation and the constant terms on the other side. We can do this by subtracting 2x from both sides:
3x - 2x - 6 = 2x - 2x + 8
x - 6 = 8
Now, we can isolate x by adding 6 to both sides of the equation:
x - 6 + 6 = 8 + 6
x = 14
Therefore, the solution to the equation 3(x - 2) = 2(x + 4) is x = 14.
