0.9(3x+9)=5.2-(x-3)

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Solution for 0.9(3x+9)=5.2-(x-3) equation: 


Simplifying
0.9(3x + 9) = 5.2 + -1(x + -3)

Reorder the terms:
0.9(9 + 3x) = 5.2 + -1(x + -3)
(9 * 0.9 + 3x * 0.9) = 5.2 + -1(x + -3)
(8.1 + 2.7x) = 5.2 + -1(x + -3)

Reorder the terms:
8.1 + 2.7x = 5.2 + -1(-3 + x)
8.1 + 2.7x = 5.2 + (-3 * -1 + x * -1)
8.1 + 2.7x = 5.2 + (3 + -1x)

Combine like terms: 5.2 + 3 = 8.2
8.1 + 2.7x = 8.2 + -1x

Solving
8.1 + 2.7x = 8.2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8.1 + 2.7x + x = 8.2 + -1x + x

Combine like terms: 2.7x + x = 3.7x
8.1 + 3.7x = 8.2 + -1x + x

Combine like terms: -1x + x = 0
8.1 + 3.7x = 8.2 + 0
8.1 + 3.7x = 8.2

Add '-8.1' to each side of the equation.
8.1 + -8.1 + 3.7x = 8.2 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0
0.0 + 3.7x = 8.2 + -8.1
3.7x = 8.2 + -8.1

Combine like terms: 8.2 + -8.1 = 0.1
3.7x = 0.1

Divide each side by '3.7'.
x = 0.02702702703

Simplifying
x = 0.02702702703

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