(2x+2)30=(2x+4)27

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Solution for (2x+2)30=(2x+4)27 equation:


Simplifying
(2x + 2) * 30 = (2x + 4) * 27

Reorder the terms:
(2 + 2x) * 30 = (2x + 4) * 27

Reorder the terms for easier multiplication:
30(2 + 2x) = (2x + 4) * 27
(2 * 30 + 2x * 30) = (2x + 4) * 27
(60 + 60x) = (2x + 4) * 27

Reorder the terms:
60 + 60x = (4 + 2x) * 27

Reorder the terms for easier multiplication:
60 + 60x = 27(4 + 2x)
60 + 60x = (4 * 27 + 2x * 27)
60 + 60x = (108 + 54x)

Solving
60 + 60x = 108 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
60 + 60x + -54x = 108 + 54x + -54x

Combine like terms: 60x + -54x = 6x
60 + 6x = 108 + 54x + -54x

Combine like terms: 54x + -54x = 0
60 + 6x = 108 + 0
60 + 6x = 108

Add '-60' to each side of the equation.
60 + -60 + 6x = 108 + -60

Combine like terms: 60 + -60 = 0
0 + 6x = 108 + -60
6x = 108 + -60

Combine like terms: 108 + -60 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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