-7r+54=2r-36

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Solution for -7r+54=2r-36 equation:


Simplifying
-7r + 54 = 2r + -36

Reorder the terms:
54 + -7r = 2r + -36

Reorder the terms:
54 + -7r = -36 + 2r

Solving
54 + -7r = -36 + 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.
54 + -7r + -2r = -36 + 2r + -2r

Combine like terms: -7r + -2r = -9r
54 + -9r = -36 + 2r + -2r

Combine like terms: 2r + -2r = 0
54 + -9r = -36 + 0
54 + -9r = -36

Add '-54' to each side of the equation.
54 + -54 + -9r = -36 + -54

Combine like terms: 54 + -54 = 0
0 + -9r = -36 + -54
-9r = -36 + -54

Combine like terms: -36 + -54 = -90
-9r = -90

Divide each side by '-9'.
r = 10

Simplifying
r = 10

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