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

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


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

Reorder the terms:
3 + 5 + -3r = 3(1 + r) + -7

Combine like terms: 3 + 5 = 8
8 + -3r = 3(1 + r) + -7
8 + -3r = (1 * 3 + r * 3) + -7
8 + -3r = (3 + 3r) + -7

Reorder the terms:
8 + -3r = 3 + -7 + 3r

Combine like terms: 3 + -7 = -4
8 + -3r = -4 + 3r

Solving
8 + -3r = -4 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
8 + -3r + -3r = -4 + 3r + -3r

Combine like terms: -3r + -3r = -6r
8 + -6r = -4 + 3r + -3r

Combine like terms: 3r + -3r = 0
8 + -6r = -4 + 0
8 + -6r = -4

Add '-8' to each side of the equation.
8 + -8 + -6r = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6r = -4 + -8
-6r = -4 + -8

Combine like terms: -4 + -8 = -12
-6r = -12

Divide each side by '-6'.
r = 2

Simplifying
r = 2

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