0.5(x+3)-0.5(x+3)=-0.2x-0.6

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Solution for 0.5(x+3)-0.5(x+3)=-0.2x-0.6 equation: 


Simplifying
0.5(x + 3) + -0.5(x + 3) = -0.2x + -0.6

Reorder the terms:
0.5(3 + x) + -0.5(x + 3) = -0.2x + -0.6
(3 * 0.5 + x * 0.5) + -0.5(x + 3) = -0.2x + -0.6
(1.5 + 0.5x) + -0.5(x + 3) = -0.2x + -0.6

Reorder the terms:
1.5 + 0.5x + -0.5(3 + x) = -0.2x + -0.6
1.5 + 0.5x + (3 * -0.5 + x * -0.5) = -0.2x + -0.6
1.5 + 0.5x + (-1.5 + -0.5x) = -0.2x + -0.6

Reorder the terms:
1.5 + -1.5 + 0.5x + -0.5x = -0.2x + -0.6

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x + -0.5x = -0.2x + -0.6
0.5x + -0.5x = -0.2x + -0.6

Combine like terms: 0.5x + -0.5x = 0.0
0.0 = -0.2x + -0.6

Reorder the terms:
0.0 = -0.6 + -0.2x

Solving
0.0 = -0.6 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
0.0 + 0.2x = -0.6 + -0.2x + 0.2x
Remove the zero:
0.2x = -0.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
0.2x = -0.6 + 0.0
0.2x = -0.6

Divide each side by '0.2'.
x = -3

Simplifying
x = -3

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