5r+5=7r-7

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Solution for 5r+5=7r-7 equation:


Simplifying
5r + 5 = 7r + -7

Reorder the terms:
5 + 5r = 7r + -7

Reorder the terms:
5 + 5r = -7 + 7r

Solving
5 + 5r = -7 + 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.
5 + 5r + -7r = -7 + 7r + -7r

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

Combine like terms: 7r + -7r = 0
5 + -2r = -7 + 0
5 + -2r = -7

Add '-5' to each side of the equation.
5 + -5 + -2r = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = -7 + -5
-2r = -7 + -5

Combine like terms: -7 + -5 = -12
-2r = -12

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

Simplifying
r = 6

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