9-(r+2)=3(r+5)

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Solution for 9-(r+2)=3(r+5) equation:


Simplifying
9 + -1(r + 2) = 3(r + 5)

Reorder the terms:
9 + -1(2 + r) = 3(r + 5)
9 + (2 * -1 + r * -1) = 3(r + 5)
9 + (-2 + -1r) = 3(r + 5)

Combine like terms: 9 + -2 = 7
7 + -1r = 3(r + 5)

Reorder the terms:
7 + -1r = 3(5 + r)
7 + -1r = (5 * 3 + r * 3)
7 + -1r = (15 + 3r)

Solving
7 + -1r = 15 + 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.
7 + -1r + -3r = 15 + 3r + -3r

Combine like terms: -1r + -3r = -4r
7 + -4r = 15 + 3r + -3r

Combine like terms: 3r + -3r = 0
7 + -4r = 15 + 0
7 + -4r = 15

Add '-7' to each side of the equation.
7 + -7 + -4r = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -4r = 15 + -7
-4r = 15 + -7

Combine like terms: 15 + -7 = 8
-4r = 8

Divide each side by '-4'.
r = -2

Simplifying
r = -2

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