An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Mathematics · High School · Mon Jan 18 2021
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Given the equation:
6 ( 2x - 11) + 15 = 3x + 12
Solve the equation, and determine the value of x.
Solution:
In order to determine the value of x, we simply needed to distribute first 6 to each value inside the parenthesis.
6 ( 2x - 11) + 15 = 3x + 12
12x - 66 + 15 = 3x + 12
12x - 51 = 3x + 12
Transpose 3x and -51 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
12x - 3x = 12 + 51
9x = 63
Divide both sides by 9 in order to determine the value of x.
9x/9 = 63/9
x = 7
Final answer:
x = 7