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

Solution for 4(r-2)-3(r-1)=(r+5) equation:

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

Reorder the terms:
4(-2 + r) + -3(r + -1) = (r + 5)
(-2 * 4 + r * 4) + -3(r + -1) = (r + 5)
(-8 + 4r) + -3(r + -1) = (r + 5)

Reorder the terms:
-8 + 4r + -3(-1 + r) = (r + 5)
-8 + 4r + (-1 * -3 + r * -3) = (r + 5)
-8 + 4r + (3 + -3r) = (r + 5)

Reorder the terms:
-8 + 3 + 4r + -3r = (r + 5)

Combine like terms: -8 + 3 = -5
-5 + 4r + -3r = (r + 5)

Combine like terms: 4r + -3r = 1r
-5 + 1r = (r + 5)

Reorder the terms:
-5 + 1r = (5 + r)

Remove parenthesis around (5 + r)
-5 + 1r = 5 + r

Solving
-5 + 1r = 5 + r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1r' to each side of the equation.
-5 + 1r + -1r = 5 + r + -1r

Combine like terms: 1r + -1r = 0
-5 + 0 = 5 + r + -1r
-5 = 5 + r + -1r

Combine like terms: r + -1r = 0
-5 = 5 + 0
-5 = 5

Add '5' to each side of the equation.
-5 + 5 = 5 + 5

Combine like terms: -5 + 5 = 0
0 = 5 + 5

Combine like terms: 5 + 5 = 10
0 = 10

Simplifying
0 = 10

Combine like terms: 0 + -10 = -10
-10 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 = 0

The solution to this equation could not be determined.