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

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


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

Remove parenthesis around (-1r)
2 + -1 * -1r = 4(5 + -1r)

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

Solving
2 + 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.
2 + 1r + 4r = 20 + -4r + 4r

Combine like terms: 1r + 4r = 5r
2 + 5r = 20 + -4r + 4r

Combine like terms: -4r + 4r = 0
2 + 5r = 20 + 0
2 + 5r = 20

Add '-2' to each side of the equation.
2 + -2 + 5r = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 5r = 20 + -2
5r = 20 + -2

Combine like terms: 20 + -2 = 18
5r = 18

Divide each side by '5'.
r = 3.6

Simplifying
r = 3.6

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