Question

How many solutions does this equation have?

4(x + 2) + 2 (x + 1) = 6x + 10
Hint: Distribute, then combine like terms, then use the
shortcut I went over in the video by looking at the final
coefficients and constants.
1 solution
No solutions
Infinitely many solutions

Answer 1

4x+8+2x+2=6x+10 add all the like terms
6x+10=6x+10
Subtract 10 by both sides and 6 by both sides
0=0
this means it’s infinitely many solutions

Answer 2

Infinetely Many Solutions

Explanation:

Distribute and solve for x -----

4(x+2) + 2(x+1) = 6x + 10

4x + 8 + 2x + 2 = 6x +10

6x + 10 = 6x + 10 ---- Infinetely Many.