0.6(10x-3)=-1.5+(x+2)-0.3

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Solution for 0.6(10x-3)=-1.5+(x+2)-0.3 equation: 


Simplifying
0.6(10x + -3) = -1.5 + (x + 2) + -0.3

Reorder the terms:
0.6(-3 + 10x) = -1.5 + (x + 2) + -0.3
(-3 * 0.6 + 10x * 0.6) = -1.5 + (x + 2) + -0.3
(-1.8 + 6x) = -1.5 + (x + 2) + -0.3

Reorder the terms:
-1.8 + 6x = -1.5 + (2 + x) + -0.3

Remove parenthesis around (2 + x)
-1.8 + 6x = -1.5 + 2 + x + -0.3

Reorder the terms:
-1.8 + 6x = -1.5 + 2 + -0.3 + x

Combine like terms: -1.5 + 2 = 0.5
-1.8 + 6x = 0.5 + -0.3 + x

Combine like terms: 0.5 + -0.3 = 0.2
-1.8 + 6x = 0.2 + x

Solving
-1.8 + 6x = 0.2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.8 + 6x + -1x = 0.2 + x + -1x

Combine like terms: 6x + -1x = 5x
-1.8 + 5x = 0.2 + x + -1x

Combine like terms: x + -1x = 0
-1.8 + 5x = 0.2 + 0
-1.8 + 5x = 0.2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 5x = 0.2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 5x = 0.2 + 1.8
5x = 0.2 + 1.8

Combine like terms: 0.2 + 1.8 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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