2(4-2r)-5=-2(r+5)+8

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Solution for 2(4-2r)-5=-2(r+5)+8 equation:


Simplifying
2(4 + -2r) + -5 = -2(r + 5) + 8
(4 * 2 + -2r * 2) + -5 = -2(r + 5) + 8
(8 + -4r) + -5 = -2(r + 5) + 8

Reorder the terms:
8 + -5 + -4r = -2(r + 5) + 8

Combine like terms: 8 + -5 = 3
3 + -4r = -2(r + 5) + 8

Reorder the terms:
3 + -4r = -2(5 + r) + 8
3 + -4r = (5 * -2 + r * -2) + 8
3 + -4r = (-10 + -2r) + 8

Reorder the terms:
3 + -4r = -10 + 8 + -2r

Combine like terms: -10 + 8 = -2
3 + -4r = -2 + -2r

Solving
3 + -4r = -2 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
3 + -4r + 2r = -2 + -2r + 2r

Combine like terms: -4r + 2r = -2r
3 + -2r = -2 + -2r + 2r

Combine like terms: -2r + 2r = 0
3 + -2r = -2 + 0
3 + -2r = -2

Add '-3' to each side of the equation.
3 + -3 + -2r = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -2r = -2 + -3
-2r = -2 + -3

Combine like terms: -2 + -3 = -5
-2r = -5

Divide each side by '-2'.
r = 2.5

Simplifying
r = 2.5

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