SOLUTION: How are addition and multiplication used to solve a linear equation? Demonstrate by solving "12x + 6 = 31 – 2x" Thank You!

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Question 191935This question is from textbook
: How are addition and multiplication used to solve a linear equation? Demonstrate by solving "12x + 6 = 31 – 2x" Thank You! This question is from textbook

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
To solve a linear equation, isolate the unknown to one side of the equat
ion.
.
12x + 6 = 31 – 2x
.
Start by moving all the x terms to the left. Do this by ADDING 2x to both sides:
12x + 6 + 2x = 31 – 2x + 2x
14x + 6 = 31
.
Next, subtract 6 from both sides:
14x + 6 - 6 = 31 - 6
14x = 25
.
Finally, MULTIPLY both sides by (1/14):
(1/14)14x = 25(1/14)
x = 25/14 (solution for x)