0.2(x+2)+0.5(x-0.4)=5.44

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Solution for 0.2(x+2)+0.5(x-0.4)=5.44 equation: 


Simplifying
0.2(x + 2) + 0.5(x + -0.4) = 5.44

Reorder the terms:
0.2(2 + x) + 0.5(x + -0.4) = 5.44
(2 * 0.2 + x * 0.2) + 0.5(x + -0.4) = 5.44
(0.4 + 0.2x) + 0.5(x + -0.4) = 5.44

Reorder the terms:
0.4 + 0.2x + 0.5(-0.4 + x) = 5.44
0.4 + 0.2x + (-0.4 * 0.5 + x * 0.5) = 5.44
0.4 + 0.2x + (-0.2 + 0.5x) = 5.44

Reorder the terms:
0.4 + -0.2 + 0.2x + 0.5x = 5.44

Combine like terms: 0.4 + -0.2 = 0.2
0.2 + 0.2x + 0.5x = 5.44

Combine like terms: 0.2x + 0.5x = 0.7x
0.2 + 0.7x = 5.44

Solving
0.2 + 0.7x = 5.44

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.7x = 5.44 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.7x = 5.44 + -0.2
0.7x = 5.44 + -0.2

Combine like terms: 5.44 + -0.2 = 5.24
0.7x = 5.24

Divide each side by '0.7'.
x = 7.485714286

Simplifying
x = 7.485714286

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