r+3=r-2r+9

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Solution for r+3=r-2r+9 equation:


Simplifying
r + 3 = r + -2r + 9

Reorder the terms:
3 + r = r + -2r + 9

Reorder the terms:
3 + r = 9 + r + -2r

Combine like terms: r + -2r = -1r
3 + r = 9 + -1r

Solving
3 + r = 9 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
3 + r + r = 9 + -1r + r

Combine like terms: r + r = 2r
3 + 2r = 9 + -1r + r

Combine like terms: -1r + r = 0
3 + 2r = 9 + 0
3 + 2r = 9

Add '-3' to each side of the equation.
3 + -3 + 2r = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 2r = 9 + -3
2r = 9 + -3

Combine like terms: 9 + -3 = 6
2r = 6

Divide each side by '2'.
r = 3

Simplifying
r = 3

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