6r-2(2-r)=5(2r-1)

Solution for 6r-2(2-r)=5(2r-1) equation:

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

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

Combine like terms: 6r + 2r = 8r
-4 + 8r = 5(2r + -1)

Reorder the terms:
-4 + 8r = 5(-1 + 2r)
-4 + 8r = (-1 * 5 + 2r * 5)
-4 + 8r = (-5 + 10r)

Solving
-4 + 8r = -5 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
-4 + 8r + -10r = -5 + 10r + -10r

Combine like terms: 8r + -10r = -2r
-4 + -2r = -5 + 10r + -10r

Combine like terms: 10r + -10r = 0
-4 + -2r = -5 + 0
-4 + -2r = -5

Add '4' to each side of the equation.
-4 + 4 + -2r = -5 + 4

Combine like terms: -4 + 4 = 0
0 + -2r = -5 + 4
-2r = -5 + 4

Combine like terms: -5 + 4 = -1
-2r = -1

Divide each side by '-2'.
r = 0.5

Simplifying
r = 0.5