8r-2(2r-1)=5(2r-4)

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Solution for 8r-2(2r-1)=5(2r-4) equation: 


Simplifying
8r + -2(2r + -1) = 5(2r + -4)

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

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

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

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

Solving
2 + 4r = -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 + 4r + -10r = -20 + 10r + -10r

Combine like terms: 4r + -10r = -6r
2 + -6r = -20 + 10r + -10r

Combine like terms: 10r + -10r = 0
2 + -6r = -20 + 0
2 + -6r = -20

Add '-2' to each side of the equation.
2 + -2 + -6r = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -6r = -20 + -2
-6r = -20 + -2

Combine like terms: -20 + -2 = -22
-6r = -22

Divide each side by '-6'.
r = 3.666666667

Simplifying
r = 3.666666667

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