4(5r-1)=12(r+3)+8

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Solution for 4(5r-1)=12(r+3)+8 equation: 


Simplifying
4(5r + -1) = 12(r + 3) + 8

Reorder the terms:
4(-1 + 5r) = 12(r + 3) + 8
(-1 * 4 + 5r * 4) = 12(r + 3) + 8
(-4 + 20r) = 12(r + 3) + 8

Reorder the terms:
-4 + 20r = 12(3 + r) + 8
-4 + 20r = (3 * 12 + r * 12) + 8
-4 + 20r = (36 + 12r) + 8

Reorder the terms:
-4 + 20r = 36 + 8 + 12r

Combine like terms: 36 + 8 = 44
-4 + 20r = 44 + 12r

Solving
-4 + 20r = 44 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-4 + 20r + -12r = 44 + 12r + -12r

Combine like terms: 20r + -12r = 8r
-4 + 8r = 44 + 12r + -12r

Combine like terms: 12r + -12r = 0
-4 + 8r = 44 + 0
-4 + 8r = 44

Add '4' to each side of the equation.
-4 + 4 + 8r = 44 + 4

Combine like terms: -4 + 4 = 0
0 + 8r = 44 + 4
8r = 44 + 4

Combine like terms: 44 + 4 = 48
8r = 48

Divide each side by '8'.
r = 6

Simplifying
r = 6

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