3.5(2x+1.8)-2(3.2x+3)=8.9

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Solution for 3.5(2x+1.8)-2(3.2x+3)=8.9 equation: 


Simplifying
3.5(2x + 1.8) + -2(3.2x + 3) = 8.9

Reorder the terms:
3.5(1.8 + 2x) + -2(3.2x + 3) = 8.9
(1.8 * 3.5 + 2x * 3.5) + -2(3.2x + 3) = 8.9
(6.3 + 7x) + -2(3.2x + 3) = 8.9

Reorder the terms:
6.3 + 7x + -2(3 + 3.2x) = 8.9
6.3 + 7x + (3 * -2 + 3.2x * -2) = 8.9
6.3 + 7x + (-6 + -6.4x) = 8.9

Reorder the terms:
6.3 + -6 + 7x + -6.4x = 8.9

Combine like terms: 6.3 + -6 = 0.3
0.3 + 7x + -6.4x = 8.9

Combine like terms: 7x + -6.4x = 0.6x
0.3 + 0.6x = 8.9

Solving
0.3 + 0.6x = 8.9

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.6x = 8.9 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.6x = 8.9 + -0.3
0.6x = 8.9 + -0.3

Combine like terms: 8.9 + -0.3 = 8.6
0.6x = 8.6

Divide each side by '0.6'.
x = 14.33333333

Simplifying
x = 14.33333333

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