Question

5(3x+9)- 2x=15x-2(x-5)

Answer 1

Answer:

There are no solutions.

Step-by-step explanation:

Answer 2

Answer:

This equation has infinitely many solutions

Step-by-step explanation:

Background: This is a problem where you need to find x, meaning that you must isolate x. To do this you can use different math properties to move terms to different sides or to cancel terms out in order to isolate x.

1. Parenthesis (Always start with what's in the parenthesis)

5(3x+9) and 2(x-5) are the equations that are in parenthesis and must be distributed.

5(3x+9) = 5*3x + 5+9 = 15x + 45

2(x-5) = 2*x - 2*5  = 2x - 10

You can then put these back into the equation

15x + 45 - 2x = 15x - 2x + 10

2. Bring together like terms

You can then simplify both sides that have like terms.

On the left side 15x and -2x are like terms, so you can put them together:

15x - 2x = 13x.

This is also the case with the right side:

15x - 2x = 13x

When you put them together it gives: 13x + 45 = 13x +45

3. Isolate x

You now want to isolate x so you can subtract 13x on both sides, which ends up giving you 45=45

Since 45=45 is TRUE, then that means that any value of x you put in will always give you the same number on both sides, letting this equation have infinitely many solutions.