Question

4(x + 2) + x + 1 = 2x - 3+3 (x + 4)

Answer 1

Answer is 9 = 9 infinitely many solutions

Step by step

According to PEMDAS math rule, we multiply the parentheses first.

4(x+ 2) + x + 1 = 2x -3 +3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

Combine like terms

5x + 9 = 5x + 9

Subtract 5x from both sides to isolate the variable x

5x - 5x +9 = 5x - 5x + 9

Combine

9 = 9

Since this solution is true, the equation will have infinitely many solutions (any number you substitute for x will give a true answer.)

The other options would be one solution or no solution. Equations with no solutions won't be equal when simplified. Equations with infinite solutions will simplify to the same constant on both sides. One solution will have “ __ = #” only one number will be the answer.

Answer 2

The given expression is

`4(x+2)+x+1=2x-3+3(x+4)`

First, we use the distributive property

`4x+8+x+1=2x-3+3x+12`

Second, we reduce like terms

`5x+9=5x+9`

As you can observe, both side of the equations are equal, that means the equation has infinitely many solutions.