4-2r=3(5-r)+7(r+1)

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Solution for 4-2r=3(5-r)+7(r+1) equation: 


Simplifying
4 + -2r = 3(5 + -1r) + 7(r + 1)
4 + -2r = (5 * 3 + -1r * 3) + 7(r + 1)
4 + -2r = (15 + -3r) + 7(r + 1)

Reorder the terms:
4 + -2r = 15 + -3r + 7(1 + r)
4 + -2r = 15 + -3r + (1 * 7 + r * 7)
4 + -2r = 15 + -3r + (7 + 7r)

Reorder the terms:
4 + -2r = 15 + 7 + -3r + 7r

Combine like terms: 15 + 7 = 22
4 + -2r = 22 + -3r + 7r

Combine like terms: -3r + 7r = 4r
4 + -2r = 22 + 4r

Solving
4 + -2r = 22 + 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 = 22 + 4r + -4r

Combine like terms: -2r + -4r = -6r
4 + -6r = 22 + 4r + -4r

Combine like terms: 4r + -4r = 0
4 + -6r = 22 + 0
4 + -6r = 22

Add '-4' to each side of the equation.
4 + -4 + -6r = 22 + -4

Combine like terms: 4 + -4 = 0
0 + -6r = 22 + -4
-6r = 22 + -4

Combine like terms: 22 + -4 = 18
-6r = 18

Divide each side by '-6'.
r = -3

Simplifying
r = -3

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