3(r-5)-(6-2r)=4r

Solution for 3(r-5)-(6-2r)=4r equation:

Simplifying
3(r + -5) + -1(6 + -2r) = 4r

Reorder the terms:
3(-5 + r) + -1(6 + -2r) = 4r
(-5 * 3 + r * 3) + -1(6 + -2r) = 4r
(-15 + 3r) + -1(6 + -2r) = 4r
-15 + 3r + (6 * -1 + -2r * -1) = 4r
-15 + 3r + (-6 + 2r) = 4r

Reorder the terms:
-15 + -6 + 3r + 2r = 4r

Combine like terms: -15 + -6 = -21
-21 + 3r + 2r = 4r

Combine like terms: 3r + 2r = 5r
-21 + 5r = 4r

Solving
-21 + 5r = 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-21 + 5r + -4r = 4r + -4r

Combine like terms: 5r + -4r = 1r
-21 + 1r = 4r + -4r

Combine like terms: 4r + -4r = 0
-21 + 1r = 0

Add '21' to each side of the equation.
-21 + 21 + 1r = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 1r = 0 + 21
1r = 0 + 21

Combine like terms: 0 + 21 = 21
1r = 21

Divide each side by '1'.
r = 21

Simplifying
r = 21