(0.4X-2)5+7=0.3X+1.6

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Solution for (0.4X-2)5+7=0.3X+1.6 equation: 


Simplifying
(0.4X + -2) * 5 + 7 = 0.3X + 1.6

Reorder the terms:
(-2 + 0.4X) * 5 + 7 = 0.3X + 1.6

Reorder the terms for easier multiplication:
5(-2 + 0.4X) + 7 = 0.3X + 1.6
(-2 * 5 + 0.4X * 5) + 7 = 0.3X + 1.6
(-10 + 2X) + 7 = 0.3X + 1.6

Reorder the terms:
-10 + 7 + 2X = 0.3X + 1.6

Combine like terms: -10 + 7 = -3
-3 + 2X = 0.3X + 1.6

Reorder the terms:
-3 + 2X = 1.6 + 0.3X

Solving
-3 + 2X = 1.6 + 0.3X

Solving for variable 'X'.

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

Add '-0.3X' to each side of the equation.
-3 + 2X + -0.3X = 1.6 + 0.3X + -0.3X

Combine like terms: 2X + -0.3X = 1.7X
-3 + 1.7X = 1.6 + 0.3X + -0.3X

Combine like terms: 0.3X + -0.3X = 0.0
-3 + 1.7X = 1.6 + 0.0
-3 + 1.7X = 1.6

Add '3' to each side of the equation.
-3 + 3 + 1.7X = 1.6 + 3

Combine like terms: -3 + 3 = 0
0 + 1.7X = 1.6 + 3
1.7X = 1.6 + 3

Combine like terms: 1.6 + 3 = 4.6
1.7X = 4.6

Divide each side by '1.7'.
X = 2.705882353

Simplifying
X = 2.705882353

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