0.6(x-2)-0.3x=0.4-3+5-0.5x

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Solution for 0.6(x-2)-0.3x=0.4-3+5-0.5x equation: 


Simplifying
0.6(x + -2) + -0.3x = 0.4 + -3 + 5 + -0.5x

Reorder the terms:
0.6(-2 + x) + -0.3x = 0.4 + -3 + 5 + -0.5x
(-2 * 0.6 + x * 0.6) + -0.3x = 0.4 + -3 + 5 + -0.5x
(-1.2 + 0.6x) + -0.3x = 0.4 + -3 + 5 + -0.5x

Combine like terms: 0.6x + -0.3x = 0.3x
-1.2 + 0.3x = 0.4 + -3 + 5 + -0.5x

Combine like terms: 0.4 + -3 = -2.6
-1.2 + 0.3x = -2.6 + 5 + -0.5x

Combine like terms: -2.6 + 5 = 2.4
-1.2 + 0.3x = 2.4 + -0.5x

Solving
-1.2 + 0.3x = 2.4 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-1.2 + 0.3x + 0.5x = 2.4 + -0.5x + 0.5x

Combine like terms: 0.3x + 0.5x = 0.8x
-1.2 + 0.8x = 2.4 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-1.2 + 0.8x = 2.4 + 0.0
-1.2 + 0.8x = 2.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.8x = 2.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.8x = 2.4 + 1.2
0.8x = 2.4 + 1.2

Combine like terms: 2.4 + 1.2 = 3.6
0.8x = 3.6

Divide each side by '0.8'.
x = 4.5

Simplifying
x = 4.5

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