0.4(x+0.2)-0.6(3x-5)=0.28

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Solution for 0.4(x+0.2)-0.6(3x-5)=0.28 equation: 


Simplifying
0.4(x + 0.2) + -0.6(3x + -5) = 0.28

Reorder the terms:
0.4(0.2 + x) + -0.6(3x + -5) = 0.28
(0.2 * 0.4 + x * 0.4) + -0.6(3x + -5) = 0.28
(0.08 + 0.4x) + -0.6(3x + -5) = 0.28

Reorder the terms:
0.08 + 0.4x + -0.6(-5 + 3x) = 0.28
0.08 + 0.4x + (-5 * -0.6 + 3x * -0.6) = 0.28
0.08 + 0.4x + (3 + -1.8x) = 0.28

Reorder the terms:
0.08 + 3 + 0.4x + -1.8x = 0.28

Combine like terms: 0.08 + 3 = 3.08
3.08 + 0.4x + -1.8x = 0.28

Combine like terms: 0.4x + -1.8x = -1.4x
3.08 + -1.4x = 0.28

Solving
3.08 + -1.4x = 0.28

Solving for variable 'x'.

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

Add '-3.08' to each side of the equation.
3.08 + -3.08 + -1.4x = 0.28 + -3.08

Combine like terms: 3.08 + -3.08 = 0.00
0.00 + -1.4x = 0.28 + -3.08
-1.4x = 0.28 + -3.08

Combine like terms: 0.28 + -3.08 = -2.8
-1.4x = -2.8

Divide each side by '-1.4'.
x = 2

Simplifying
x = 2

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