Answer:
a. x = ½, and x = -1
Step-by-step explanation:
Given the equation, 7|12x + 3| - 1 = 62, solve as follows:
Add 1 to each side of the equation
7|12x + 3| = 62 + 1
7|12x + 3| = 63
Remove the absolute value to create ± on the right side of the equation
7(12x + 3) = ±63
Solve the positive portion of the solution
7(12x + 3) = 63
84x + 21 = 63
Subtract 21 from both sides
84x = 63 - 21
84x = 42
Divide both sides by 84
x = 42/84
x = ½
Solve the negative portion of the solution
7(12x + 3) = -63
84x + 21 = -63
Subtract 21 from each side of the equation
84x = -63 - 21
84x = -84
Divide both sides by 84
x = -84/84
x = -1
The answer is: x = ½, and x = -1
