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

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) (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)

RELATED QUESTIONS
How are addition and multiplication used to solve a linear equation? Demonstrate by... (answered by jim_thompson5910)

2. How are addition and multiplication used to solve a linear equation? Demonstrate by (answered by stanbon)

How are addition and multiplication used to solve a linear equation? Demonstrate by... (answered by Hoya)

How are addition and multiplication used to sovle a linear equation? Demonstrate by... (answered by solver91311)

How are addition and multiplication use to solve a linear equation? Demonstrate by... (answered by mananth)

I have a question about solving a linear equation by substitution. "solve each system by (answered by AnlytcPhil)

Could you please help me with solving this system of equation using multiplication? I get (answered by vleith)

I need help with solving a linear system of equation by the elmination method. Solve... (answered by Maths68)

I need to determine the slope and y intercept of the graph of the linear equation... (answered by ankor@dixie-net.com)