7(r+8)=3(r+12)

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Solution for 7(r+8)=3(r+12) equation:


Simplifying
7(r + 8) = 3(r + 12)

Reorder the terms:
7(8 + r) = 3(r + 12)
(8 * 7 + r * 7) = 3(r + 12)
(56 + 7r) = 3(r + 12)

Reorder the terms:
56 + 7r = 3(12 + r)
56 + 7r = (12 * 3 + r * 3)
56 + 7r = (36 + 3r)

Solving
56 + 7r = 36 + 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.
56 + 7r + -3r = 36 + 3r + -3r

Combine like terms: 7r + -3r = 4r
56 + 4r = 36 + 3r + -3r

Combine like terms: 3r + -3r = 0
56 + 4r = 36 + 0
56 + 4r = 36

Add '-56' to each side of the equation.
56 + -56 + 4r = 36 + -56

Combine like terms: 56 + -56 = 0
0 + 4r = 36 + -56
4r = 36 + -56

Combine like terms: 36 + -56 = -20
4r = -20

Divide each side by '4'.
r = -5

Simplifying
r = -5

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