How many solutions does the equation

7x + 3x - 8 = 2 (5x - 4) have? Explain.

Infinite Solutions

Step-by-step explanation:

So first we have to distribute;

7x + 3x - 8 = 10x - 8

Then collect like terms;

10x - 8 = 10x - 8

So this is Infinite Solutions

Infinite solutions

Step-by-step explanation:

7x + 3x - 8 = 2 (5x - 4)

distribute the 2:

7x + 3x - 8 = 10x - 8

combine like terms:

10x - 8 = 10x - 8

Here, you can completely get rid of the 8, leaving - 8=-8. This is true no matter what x is, so there are infinite solutions.