-3r+10=2(3-r+8)

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Solution for -3r+10=2(3-r+8) equation: 


Simplifying
-3r + 10 = 2(3 + -1r + 8)

Reorder the terms:
10 + -3r = 2(3 + -1r + 8)

Reorder the terms:
10 + -3r = 2(3 + 8 + -1r)

Combine like terms: 3 + 8 = 11
10 + -3r = 2(11 + -1r)
10 + -3r = (11 * 2 + -1r * 2)
10 + -3r = (22 + -2r)

Solving
10 + -3r = 22 + -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.
10 + -3r + 2r = 22 + -2r + 2r

Combine like terms: -3r + 2r = -1r
10 + -1r = 22 + -2r + 2r

Combine like terms: -2r + 2r = 0
10 + -1r = 22 + 0
10 + -1r = 22

Add '-10' to each side of the equation.
10 + -10 + -1r = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -1r = 22 + -10
-1r = 22 + -10

Combine like terms: 22 + -10 = 12
-1r = 12

Divide each side by '-1'.
r = -12

Simplifying
r = -12

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