How many solutions can be found for the equation 5x + 3(x – 1) = 10x – 2x – 3?

The answer is all real numbers so any number will do except for fractions and decimals

5x + 3(x - 1) = 10x - 2x - 3

Simplify.

5x + 3x - 3 = 10x - 2x - 3

Add like terms.

8x - 3 = 8x - 3

We're trying to get x to one side, and the integers to the other, so we simply move the numbers over. Remember, when doing so, we must change their signs.

Add 3 to both sides, as well as subtracting 8x from both sides.

8x - 8x = -3 + 3

Simplify.

0 = 0

So, all real numbers is the solution.

~Hope I helped!~