0.6x-0.1(12-3x)=-0.5(x-6)

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Solution for 0.6x-0.1(12-3x)=-0.5(x-6) equation: 


Simplifying
0.6x + -0.1(12 + -3x) = -0.5(x + -6)
0.6x + (12 * -0.1 + -3x * -0.1) = -0.5(x + -6)
0.6x + (-1.2 + 0.3x) = -0.5(x + -6)

Reorder the terms:
-1.2 + 0.6x + 0.3x = -0.5(x + -6)

Combine like terms: 0.6x + 0.3x = 0.9x
-1.2 + 0.9x = -0.5(x + -6)

Reorder the terms:
-1.2 + 0.9x = -0.5(-6 + x)
-1.2 + 0.9x = (-6 * -0.5 + x * -0.5)
-1.2 + 0.9x = (3 + -0.5x)

Solving
-1.2 + 0.9x = 3 + -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 + 0.9x + 0.5x = 3 + -0.5x + 0.5x

Combine like terms: 0.9x + 0.5x = 1.4x
-1.2 + 1.4x = 3 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-1.2 + 1.4x = 3 + 0.0
-1.2 + 1.4x = 3

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.4x = 3 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.4x = 3 + 1.2
1.4x = 3 + 1.2

Combine like terms: 3 + 1.2 = 4.2
1.4x = 4.2

Divide each side by '1.4'.
x = 3

Simplifying
x = 3

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