7x+14=7(x+2) 7x + 14 = 7(x + 2) ​

Question

7x+14=7(x+2)

`7x + 14 = 7(x + 2)`
​

Answer 1

7x+14 =7(x+2)
Step 1: Simplify both sides of the equation.
7x+14 =7(x+2)
7x+14=(
7)(x)+(7)(2)
(Distribute)
7x+14 =7x+14
Step 2: Subtract 7x from both sides.
7x+14−7x=7x+14−7x
14=14
Step 3: Subtract 14 from both sides.
14−14= 14−14
0=0

Answer:
All real numbers are solutions

Answer 2

The equation has infinitely many solutions

x ∈ R

Each real number is the solution of this equation.

Explanation:

`7x+14=7(x+2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\7x+14=(7)(x)+(7)(2)\\\\7x+14=7x+14\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\7x-7x+14=7x-7x+14\\\\14=14\qquad\bold{TRUE}\\\\\bold{CONCLUSION}\\\text{The equation has infinitely many solutions}`