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

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


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

Reorder the terms:
0.2(0.2 + x) + 0.5(x + -0.4) = 5.44
(0.2 * 0.2 + x * 0.2) + 0.5(x + -0.4) = 5.44
(0.04 + 0.2x) + 0.5(x + -0.4) = 5.44

Reorder the terms:
0.04 + 0.2x + 0.5(-0.4 + x) = 5.44
0.04 + 0.2x + (-0.4 * 0.5 + x * 0.5) = 5.44
0.04 + 0.2x + (-0.2 + 0.5x) = 5.44

Reorder the terms:
0.04 + -0.2 + 0.2x + 0.5x = 5.44

Combine like terms: 0.04 + -0.2 = -0.16
-0.16 + 0.2x + 0.5x = 5.44

Combine like terms: 0.2x + 0.5x = 0.7x
-0.16 + 0.7x = 5.44

Solving
-0.16 + 0.7x = 5.44

Solving for variable 'x'.

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

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.7x = 5.44 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.7x = 5.44 + 0.16
0.7x = 5.44 + 0.16

Combine like terms: 5.44 + 0.16 = 5.6
0.7x = 5.6

Divide each side by '0.7'.
x = 8

Simplifying
x = 8

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