EXPLANATION
M4. Solve the equation: 2(x + 4) = 16
a) x = 4
b) x = 6
c) x = 8
d) x = 10
ANSWER: a) x = 4
EXPLANATION:
To solve the equation 2(x + 4) = 16, we can begin by distributing the 2 to the terms inside the parentheses. Here's the step-by-step solution:
2(x + 4) = 16
Multiply 2 by each term inside the parentheses:
2x + 8 = 16
Next, we'll isolate the variable term by subtracting 8 from both sides:
2x + 8 - 8 = 16 - 8
2x = 8
Finally, we divide both sides by 2 to solve for x:
2x/2 = 8/2
x = 4
Therefore, the solution to the equation 2(x + 4) = 16 is a) x = 4.
