5r+2=2r-10

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Solution for 5r+2=2r-10 equation: 


Simplifying
5r + 2 = 2r + -10

Reorder the terms:
2 + 5r = 2r + -10

Reorder the terms:
2 + 5r = -10 + 2r

Solving
2 + 5r = -10 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
2 + 5r + -2r = -10 + 2r + -2r

Combine like terms: 5r + -2r = 3r
2 + 3r = -10 + 2r + -2r

Combine like terms: 2r + -2r = 0
2 + 3r = -10 + 0
2 + 3r = -10

Add '-2' to each side of the equation.
2 + -2 + 3r = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 3r = -10 + -2
3r = -10 + -2

Combine like terms: -10 + -2 = -12
3r = -12

Divide each side by '3'.
r = -4

Simplifying
r = -4

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