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

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


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

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

Solving
-12 + 4r = 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 + 4r + -2r = 8 + 2r + -2r

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

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

Add '12' to each side of the equation.
-12 + 12 + 2r = 8 + 12

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

Combine like terms: 8 + 12 = 20
2r = 20

Divide each side by '2'.
r = 10

Simplifying
r = 10

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