x+(2x+3)+0.3(2x+3)=38.10

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Solution for x+(2x+3)+0.3(2x+3)=38.10 equation: 


Simplifying
x + (2x + 3) + 0.3(2x + 3) = 38.10

Reorder the terms:
x + (3 + 2x) + 0.3(2x + 3) = 38.10

Remove parenthesis around (3 + 2x)
x + 3 + 2x + 0.3(2x + 3) = 38.10

Reorder the terms:
x + 3 + 2x + 0.3(3 + 2x) = 38.10
x + 3 + 2x + (3 * 0.3 + 2x * 0.3) = 38.10
x + 3 + 2x + (0.9 + 0.6x) = 38.10

Reorder the terms:
3 + 0.9 + x + 2x + 0.6x = 38.10

Combine like terms: 3 + 0.9 = 3.9
3.9 + x + 2x + 0.6x = 38.10

Combine like terms: x + 2x = 3x
3.9 + 3x + 0.6x = 38.10

Combine like terms: 3x + 0.6x = 3.6x
3.9 + 3.6x = 38.10

Solving
3.9 + 3.6x = 38.10

Solving for variable 'x'.

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

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 3.6x = 38.10 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 3.6x = 38.10 + -3.9
3.6x = 38.10 + -3.9

Combine like terms: 38.10 + -3.9 = 34.2
3.6x = 34.2

Divide each side by '3.6'.
x = 9.5

Simplifying
x = 9.5

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