5r+5=3r-12

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Solution for 5r+5=3r-12 equation:


Simplifying
5r + 5 = 3r + -12

Reorder the terms:
5 + 5r = 3r + -12

Reorder the terms:
5 + 5r = -12 + 3r

Solving
5 + 5r = -12 + 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.
5 + 5r + -3r = -12 + 3r + -3r

Combine like terms: 5r + -3r = 2r
5 + 2r = -12 + 3r + -3r

Combine like terms: 3r + -3r = 0
5 + 2r = -12 + 0
5 + 2r = -12

Add '-5' to each side of the equation.
5 + -5 + 2r = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 2r = -12 + -5
2r = -12 + -5

Combine like terms: -12 + -5 = -17
2r = -17

Divide each side by '2'.
r = -8.5

Simplifying
r = -8.5

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