(2x+4.7)+(2x+4.7)*2=66.8

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Solution for (2x+4.7)+(2x+4.7)*2=66.8 equation: 


Simplifying
(2x + 4.7) + (2x + 4.7) * 2 = 66.8

Reorder the terms:
(4.7 + 2x) + (2x + 4.7) * 2 = 66.8

Remove parenthesis around (4.7 + 2x)
4.7 + 2x + (2x + 4.7) * 2 = 66.8

Reorder the terms:
4.7 + 2x + (4.7 + 2x) * 2 = 66.8

Reorder the terms for easier multiplication:
4.7 + 2x + 2(4.7 + 2x) = 66.8
4.7 + 2x + (4.7 * 2 + 2x * 2) = 66.8
4.7 + 2x + (9.4 + 4x) = 66.8

Reorder the terms:
4.7 + 9.4 + 2x + 4x = 66.8

Combine like terms: 4.7 + 9.4 = 14.1
14.1 + 2x + 4x = 66.8

Combine like terms: 2x + 4x = 6x
14.1 + 6x = 66.8

Solving
14.1 + 6x = 66.8

Solving for variable 'x'.

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

Add '-14.1' to each side of the equation.
14.1 + -14.1 + 6x = 66.8 + -14.1

Combine like terms: 14.1 + -14.1 = 0.0
0.0 + 6x = 66.8 + -14.1
6x = 66.8 + -14.1

Combine like terms: 66.8 + -14.1 = 52.7
6x = 52.7

Divide each side by '6'.
x = 8.783333333

Simplifying
x = 8.783333333

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