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

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


Simplifying
-2(2 + -1r) = 4(5 + -1r)
(2 * -2 + -1r * -2) = 4(5 + -1r)
(-4 + 2r) = 4(5 + -1r)
-4 + 2r = (5 * 4 + -1r * 4)
-4 + 2r = (20 + -4r)

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

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

Combine like terms: -4r + 4r = 0
-4 + 6r = 20 + 0
-4 + 6r = 20

Add '4' to each side of the equation.
-4 + 4 + 6r = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 6r = 20 + 4
6r = 20 + 4

Combine like terms: 20 + 4 = 24
6r = 24

Divide each side by '6'.
r = 4

Simplifying
r = 4

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