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Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.1. Use the distributive property: 2. Use the subtraction property of equality:3. Division property of equality: 3(−4x) + 3(5) = 12−12x + 15 = 12−12x + 15 − 15 = 12 − 15−12x = −3 x =

2 Answers

5 votes

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:

  1. 3(−4x) + 3(5) = 12.
  2. −12x + 15 = 12.

Next, we use the subtraction property of equality to isolate the variable:

  1. −12x + 15 - 15 = 12 - 15.
  2. −12x = −3.

Finally, we apply the division property of equality to solve for x:

  1. x = −3 / −12.
  2. x = 1/4 or 0.25.

User Shijith
by
7.9k points
4 votes

Answer:

1/4

Step-by-step explanation:

Take my word for it.

(Yes I know this answer is late)

User Fistameeny
by
8.9k points
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