2(r-6)+2=4(r+2)-21

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Solution for 2(r-6)+2=4(r+2)-21 equation: 


Simplifying
2(r + -6) + 2 = 4(r + 2) + -21

Reorder the terms:
2(-6 + r) + 2 = 4(r + 2) + -21
(-6 * 2 + r * 2) + 2 = 4(r + 2) + -21
(-12 + 2r) + 2 = 4(r + 2) + -21

Reorder the terms:
-12 + 2 + 2r = 4(r + 2) + -21

Combine like terms: -12 + 2 = -10
-10 + 2r = 4(r + 2) + -21

Reorder the terms:
-10 + 2r = 4(2 + r) + -21
-10 + 2r = (2 * 4 + r * 4) + -21
-10 + 2r = (8 + 4r) + -21

Reorder the terms:
-10 + 2r = 8 + -21 + 4r

Combine like terms: 8 + -21 = -13
-10 + 2r = -13 + 4r

Solving
-10 + 2r = -13 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-10 + 2r + -4r = -13 + 4r + -4r

Combine like terms: 2r + -4r = -2r
-10 + -2r = -13 + 4r + -4r

Combine like terms: 4r + -4r = 0
-10 + -2r = -13 + 0
-10 + -2r = -13

Add '10' to each side of the equation.
-10 + 10 + -2r = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -2r = -13 + 10
-2r = -13 + 10

Combine like terms: -13 + 10 = -3
-2r = -3

Divide each side by '-2'.
r = 1.5

Simplifying
r = 1.5

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