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

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


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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -6r = -10 + -2

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

Combine like terms: -10 + -2 = -12
-6r = -12

Divide each side by '-6'.
r = 2

Simplifying
r = 2

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