2.2(x+4)=2(x+8)

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Solution for 2.2(x+4)=2(x+8) equation: 


Simplifying
2.2(x + 4) = 2(x + 8)

Reorder the terms:
2.2(4 + x) = 2(x + 8)
(4 * 2.2 + x * 2.2) = 2(x + 8)
(8.8 + 2.2x) = 2(x + 8)

Reorder the terms:
8.8 + 2.2x = 2(8 + x)
8.8 + 2.2x = (8 * 2 + x * 2)
8.8 + 2.2x = (16 + 2x)

Solving
8.8 + 2.2x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8.8 + 2.2x + -2x = 16 + 2x + -2x

Combine like terms: 2.2x + -2x = 0.2x
8.8 + 0.2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
8.8 + 0.2x = 16 + 0
8.8 + 0.2x = 16

Add '-8.8' to each side of the equation.
8.8 + -8.8 + 0.2x = 16 + -8.8

Combine like terms: 8.8 + -8.8 = 0.0
0.0 + 0.2x = 16 + -8.8
0.2x = 16 + -8.8

Combine like terms: 16 + -8.8 = 7.2
0.2x = 7.2

Divide each side by '0.2'.
x = 36

Simplifying
x = 36

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