2(5r-3)-r=3(3r-2)

Solution for 2(5r-3)-r=3(3r-2) equation:

Simplifying
2(5r + -3) + -1r = 3(3r + -2)

Reorder the terms:
2(-3 + 5r) + -1r = 3(3r + -2)
(-3 * 2 + 5r * 2) + -1r = 3(3r + -2)
(-6 + 10r) + -1r = 3(3r + -2)

Combine like terms: 10r + -1r = 9r
-6 + 9r = 3(3r + -2)

Reorder the terms:
-6 + 9r = 3(-2 + 3r)
-6 + 9r = (-2 * 3 + 3r * 3)
-6 + 9r = (-6 + 9r)

Add '6' to each side of the equation.
-6 + 6 + 9r = -6 + 6 + 9r

Combine like terms: -6 + 6 = 0
0 + 9r = -6 + 6 + 9r
9r = -6 + 6 + 9r

Combine like terms: -6 + 6 = 0
9r = 0 + 9r
9r = 9r

Add '-9r' to each side of the equation.
9r + -9r = 9r + -9r

Combine like terms: 9r + -9r = 0
0 = 9r + -9r

Combine like terms: 9r + -9r = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.