0.2(16x+24)+0.66(6x-9)=42

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Solution for 0.2(16x+24)+0.66(6x-9)=42 equation: 


Simplifying
0.2(16x + 24) + 0.66(6x + -9) = 42

Reorder the terms:
0.2(24 + 16x) + 0.66(6x + -9) = 42
(24 * 0.2 + 16x * 0.2) + 0.66(6x + -9) = 42
(4.8 + 3.2x) + 0.66(6x + -9) = 42

Reorder the terms:
4.8 + 3.2x + 0.66(-9 + 6x) = 42
4.8 + 3.2x + (-9 * 0.66 + 6x * 0.66) = 42
4.8 + 3.2x + (-5.94 + 3.96x) = 42

Reorder the terms:
4.8 + -5.94 + 3.2x + 3.96x = 42

Combine like terms: 4.8 + -5.94 = -1.14
-1.14 + 3.2x + 3.96x = 42

Combine like terms: 3.2x + 3.96x = 7.16x
-1.14 + 7.16x = 42

Solving
-1.14 + 7.16x = 42

Solving for variable 'x'.

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

Add '1.14' to each side of the equation.
-1.14 + 1.14 + 7.16x = 42 + 1.14

Combine like terms: -1.14 + 1.14 = 0.00
0.00 + 7.16x = 42 + 1.14
7.16x = 42 + 1.14

Combine like terms: 42 + 1.14 = 43.14
7.16x = 43.14

Divide each side by '7.16'.
x = 6.025139665

Simplifying
x = 6.025139665

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