Final answer:
To solve the equation 3(‒4x + 5) = 12, apply the distributive property, then use subtraction to isolate the variable, and lastly, divide to find the value of x, which is 0.25.
Step-by-step explanation:
To solve the linear equation 3(−4x + 5) = 12, we start by applying the distributive property to eliminate the parentheses:
- 3(−4x) + 3(5) = 12.
- −12x + 15 = 12.
Next, we use the subtraction property of equality to isolate the variable:
- −12x + 15 - 15 = 12 - 15.
- −12x = −3.
Finally, we apply the division property of equality to solve for x:
- x = −3 / −12.
- x = 1/4 or 0.25.