(r+6)5=(r+8)7

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Solution for (r+6)5=(r+8)7 equation: 


Simplifying
(r + 6) * 5 = (r + 8) * 7

Reorder the terms:
(6 + r) * 5 = (r + 8) * 7

Reorder the terms for easier multiplication:
5(6 + r) = (r + 8) * 7
(6 * 5 + r * 5) = (r + 8) * 7
(30 + 5r) = (r + 8) * 7

Reorder the terms:
30 + 5r = (8 + r) * 7

Reorder the terms for easier multiplication:
30 + 5r = 7(8 + r)
30 + 5r = (8 * 7 + r * 7)
30 + 5r = (56 + 7r)

Solving
30 + 5r = 56 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
30 + 5r + -7r = 56 + 7r + -7r

Combine like terms: 5r + -7r = -2r
30 + -2r = 56 + 7r + -7r

Combine like terms: 7r + -7r = 0
30 + -2r = 56 + 0
30 + -2r = 56

Add '-30' to each side of the equation.
30 + -30 + -2r = 56 + -30

Combine like terms: 30 + -30 = 0
0 + -2r = 56 + -30
-2r = 56 + -30

Combine like terms: 56 + -30 = 26
-2r = 26

Divide each side by '-2'.
r = -13

Simplifying
r = -13

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