Sagot :
[tex]8x+2(x-7)=7x+3-14\\8x+2x-14=7x+3-14~~Distributive~property\\10x-14=7x-11~combine~like~terms\\
3x-14=-11~subtract~the~7x~from~both~sides\\
3x=3~add~14~to~both~sides\\x=1~divide~both~sides~by~3[/tex]
Answer:
A) there are infinite solutions.
B) distributive property of multiplication
Step-by-step explanation:
Given the equation:
8x + 2(x - 7) = 7x + 3x - 14
To solve this, first apply the distributive property of multiplication,
8x + 2x - 14 = 7x + 3x - 14
Then, combine the similar terms,
8x + 2x -7x -3x = -14 + 14
0 = 0
This means that any value of x satisfy the equation, that is, there are infinite solutions.