5r-2=3r-14

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Solution for 5r-2=3r-14 equation:


Simplifying
5r + -2 = 3r + -14

Reorder the terms:
-2 + 5r = 3r + -14

Reorder the terms:
-2 + 5r = -14 + 3r

Solving
-2 + 5r = -14 + 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.
-2 + 5r + -3r = -14 + 3r + -3r

Combine like terms: 5r + -3r = 2r
-2 + 2r = -14 + 3r + -3r

Combine like terms: 3r + -3r = 0
-2 + 2r = -14 + 0
-2 + 2r = -14

Add '2' to each side of the equation.
-2 + 2 + 2r = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 2r = -14 + 2
2r = -14 + 2

Combine like terms: -14 + 2 = -12
2r = -12

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

Simplifying
r = -6

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