(3r+8)=(r-4)

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Solution for (3r+8)=(r-4) equation:


Simplifying
(3r + 8) = (r + -4)

Reorder the terms:
(8 + 3r) = (r + -4)

Remove parenthesis around (8 + 3r)
8 + 3r = (r + -4)

Reorder the terms:
8 + 3r = (-4 + r)

Remove parenthesis around (-4 + r)
8 + 3r = -4 + r

Solving
8 + 3r = -4 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
8 + 3r + -1r = -4 + r + -1r

Combine like terms: 3r + -1r = 2r
8 + 2r = -4 + r + -1r

Combine like terms: r + -1r = 0
8 + 2r = -4 + 0
8 + 2r = -4

Add '-8' to each side of the equation.
8 + -8 + 2r = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 2r = -4 + -8
2r = -4 + -8

Combine like terms: -4 + -8 = -12
2r = -12

Divide each side by '2'.
r = -6

Simplifying
r = -6

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