2(x+3)+2(3x+1)=60

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Solution for 2(x+3)+2(3x+1)=60 equation: 


Simplifying
2(x + 3) + 2(3x + 1) = 60

Reorder the terms:
2(3 + x) + 2(3x + 1) = 60
(3 * 2 + x * 2) + 2(3x + 1) = 60
(6 + 2x) + 2(3x + 1) = 60

Reorder the terms:
6 + 2x + 2(1 + 3x) = 60
6 + 2x + (1 * 2 + 3x * 2) = 60
6 + 2x + (2 + 6x) = 60

Reorder the terms:
6 + 2 + 2x + 6x = 60

Combine like terms: 6 + 2 = 8
8 + 2x + 6x = 60

Combine like terms: 2x + 6x = 8x
8 + 8x = 60

Solving
8 + 8x = 60

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 8x = 60 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 60 + -8
8x = 60 + -8

Combine like terms: 60 + -8 = 52
8x = 52

Divide each side by '8'.
x = 6.5

Simplifying
x = 6.5

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