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

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


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

Combine like terms: 2 + -2 = 0
0 + 1r = 4(5 + -1r)
1r = 4(5 + -1r)
1r = (5 * 4 + -1r * 4)
1r = (20 + -4r)

Solving
1r = 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.
1r + 4r = 20 + -4r + 4r

Combine like terms: 1r + 4r = 5r
5r = 20 + -4r + 4r

Combine like terms: -4r + 4r = 0
5r = 20 + 0
5r = 20

Divide each side by '5'.
r = 4

Simplifying
r = 4

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