7r+8-3r=2(r+12)-6

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Solution for 7r+8-3r=2(r+12)-6 equation:


Simplifying
7r + 8 + -3r = 2(r + 12) + -6

Reorder the terms:
8 + 7r + -3r = 2(r + 12) + -6

Combine like terms: 7r + -3r = 4r
8 + 4r = 2(r + 12) + -6

Reorder the terms:
8 + 4r = 2(12 + r) + -6
8 + 4r = (12 * 2 + r * 2) + -6
8 + 4r = (24 + 2r) + -6

Reorder the terms:
8 + 4r = 24 + -6 + 2r

Combine like terms: 24 + -6 = 18
8 + 4r = 18 + 2r

Solving
8 + 4r = 18 + 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.
8 + 4r + -2r = 18 + 2r + -2r

Combine like terms: 4r + -2r = 2r
8 + 2r = 18 + 2r + -2r

Combine like terms: 2r + -2r = 0
8 + 2r = 18 + 0
8 + 2r = 18

Add '-8' to each side of the equation.
8 + -8 + 2r = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 2r = 18 + -8
2r = 18 + -8

Combine like terms: 18 + -8 = 10
2r = 10

Divide each side by '2'.
r = 5

Simplifying
r = 5

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