3(4-r)+4r=2(4+r)

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Solution for 3(4-r)+4r=2(4+r) equation: 


Simplifying
3(4 + -1r) + 4r = 2(4 + r)
(4 * 3 + -1r * 3) + 4r = 2(4 + r)
(12 + -3r) + 4r = 2(4 + r)

Combine like terms: -3r + 4r = 1r
12 + 1r = 2(4 + r)
12 + 1r = (4 * 2 + r * 2)
12 + 1r = (8 + 2r)

Solving
12 + 1r = 8 + 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.
12 + 1r + -2r = 8 + 2r + -2r

Combine like terms: 1r + -2r = -1r
12 + -1r = 8 + 2r + -2r

Combine like terms: 2r + -2r = 0
12 + -1r = 8 + 0
12 + -1r = 8

Add '-12' to each side of the equation.
12 + -12 + -1r = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -1r = 8 + -12
-1r = 8 + -12

Combine like terms: 8 + -12 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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