2r+12=10r-20

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Solution for 2r+12=10r-20 equation:


Simplifying
2r + 12 = 10r + -20

Reorder the terms:
12 + 2r = 10r + -20

Reorder the terms:
12 + 2r = -20 + 10r

Solving
12 + 2r = -20 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
12 + 2r + -10r = -20 + 10r + -10r

Combine like terms: 2r + -10r = -8r
12 + -8r = -20 + 10r + -10r

Combine like terms: 10r + -10r = 0
12 + -8r = -20 + 0
12 + -8r = -20

Add '-12' to each side of the equation.
12 + -12 + -8r = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -8r = -20 + -12
-8r = -20 + -12

Combine like terms: -20 + -12 = -32
-8r = -32

Divide each side by '-8'.
r = 4

Simplifying
r = 4

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