EXPLANATION
M11. Solve the equation: 4(2x + 3) = 32
a) x = 2
b) x = 2.5
c) x = 3
d) x = 3.5
ANSWER: b) x = 2.5
EXPLANATION:
To solve the equation 4(2x + 3) = 32, we can start by simplifying the expression on the left side and then solving for x. Here's the step-by-step solution:
4(2x + 3) = 32
First, we can distribute 4 to the terms inside the parentheses:
8x + 12 = 32
Next, we'll isolate the variable term by subtracting 12 from both sides:
8x + 12 - 12 = 32 - 12
8x = 20
Finally, we divide both sides by 8 to solve for x:
8x/8 = 20/8
x = 2.5
Therefore, the solution to the equation 4(2x + 3) = 32 is not one of the provided options. The correct answer is x = 2.5.
