5(2-r)-3(4-2r)=20

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Solution for 5(2-r)-3(4-2r)=20 equation: 


Simplifying
5(2 + -1r) + -3(4 + -2r) = 20
(2 * 5 + -1r * 5) + -3(4 + -2r) = 20
(10 + -5r) + -3(4 + -2r) = 20
10 + -5r + (4 * -3 + -2r * -3) = 20
10 + -5r + (-12 + 6r) = 20

Reorder the terms:
10 + -12 + -5r + 6r = 20

Combine like terms: 10 + -12 = -2
-2 + -5r + 6r = 20

Combine like terms: -5r + 6r = 1r
-2 + 1r = 20

Solving
-2 + 1r = 20

Solving for variable 'r'.

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

Add '2' to each side of the equation.
-2 + 2 + 1r = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 1r = 20 + 2
1r = 20 + 2

Combine like terms: 20 + 2 = 22
1r = 22

Divide each side by '1'.
r = 22

Simplifying
r = 22

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