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

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

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

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

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

Combine like terms: 3r + -4r = -1r
2 + -1r = 5(2r + -4)

Reorder the terms:
2 + -1r = 5(-4 + 2r)
2 + -1r = (-4 * 5 + 2r * 5)
2 + -1r = (-20 + 10r)

Solving
2 + -1r = -20 + 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.
2 + -1r + -10r = -20 + 10r + -10r

Combine like terms: -1r + -10r = -11r
2 + -11r = -20 + 10r + -10r

Combine like terms: 10r + -10r = 0
2 + -11r = -20 + 0
2 + -11r = -20

Add '-2' to each side of the equation.
2 + -2 + -11r = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -11r = -20 + -2
-11r = -20 + -2

Combine like terms: -20 + -2 = -22
-11r = -22

Divide each side by '-11'.
r = 2

Simplifying
r = 2