3.5(2x+1.8)-2(3.2x+5)=8.9

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Solution for 3.5(2x+1.8)-2(3.2x+5)=8.9 equation: 


Simplifying
3.5(2x + 1.8) + -2(3.2x + 5) = 8.9

Reorder the terms:
3.5(1.8 + 2x) + -2(3.2x + 5) = 8.9
(1.8 * 3.5 + 2x * 3.5) + -2(3.2x + 5) = 8.9
(6.3 + 7x) + -2(3.2x + 5) = 8.9

Reorder the terms:
6.3 + 7x + -2(5 + 3.2x) = 8.9
6.3 + 7x + (5 * -2 + 3.2x * -2) = 8.9
6.3 + 7x + (-10 + -6.4x) = 8.9

Reorder the terms:
6.3 + -10 + 7x + -6.4x = 8.9

Combine like terms: 6.3 + -10 = -3.7
-3.7 + 7x + -6.4x = 8.9

Combine like terms: 7x + -6.4x = 0.6x
-3.7 + 0.6x = 8.9

Solving
-3.7 + 0.6x = 8.9

Solving for variable 'x'.

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

Add '3.7' to each side of the equation.
-3.7 + 3.7 + 0.6x = 8.9 + 3.7

Combine like terms: -3.7 + 3.7 = 0.0
0.0 + 0.6x = 8.9 + 3.7
0.6x = 8.9 + 3.7

Combine like terms: 8.9 + 3.7 = 12.6
0.6x = 12.6

Divide each side by '0.6'.
x = 21

Simplifying
x = 21

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