Step by step:
8x + 2(x-7) = 7x + 3x - 14
1. distribute the 2 to the parenthese (x-7)
8x + 2x - 14 = 7x + 3x - 14
2. combine like terms
8x + 2x = 10x
7x + 3x = 10x
10x - 14 = 10x - 14
3. get your variables to one side by adding 14 to both sides
10x - 14 = 10x - 14
+ 14 +14
10x = 10x
4. solve for variable x by dividing both sides by 10
10x = 10x
/10 /10
x = x
Answers:
Becuase x=x, it can equal any value meaning there are infinite solutions.
One property used is the addition property of equality when adding 14 to both sides of the equation.
Answer:
A) Infinite solutions
B) Distributive Property of Multiplication
Step-by-step explanation:
=> 8x+2(x-7) = 7x+3x-14
(Using distributive Property to expand brackets)
=> 8x+2x-14 = 10x-14
=> 10x-14 = 10x -14
(Subtracting 10x to both sides)
=> 10x-10x-14 = -14
=> -14 = -14
So, This equation has infinite solutions.
