0.6x-1.2(x-6)=0.4(x-2)

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Solution for 0.6x-1.2(x-6)=0.4(x-2) equation:


Simplifying
0.6x + -1.2(x + -6) = 0.4(x + -2)

Reorder the terms:
0.6x + -1.2(-6 + x) = 0.4(x + -2)
0.6x + (-6 * -1.2 + x * -1.2) = 0.4(x + -2)
0.6x + (7.2 + -1.2x) = 0.4(x + -2)

Reorder the terms:
7.2 + 0.6x + -1.2x = 0.4(x + -2)

Combine like terms: 0.6x + -1.2x = -0.6x
7.2 + -0.6x = 0.4(x + -2)

Reorder the terms:
7.2 + -0.6x = 0.4(-2 + x)
7.2 + -0.6x = (-2 * 0.4 + x * 0.4)
7.2 + -0.6x = (-0.8 + 0.4x)

Solving
7.2 + -0.6x = -0.8 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
7.2 + -0.6x + -0.4x = -0.8 + 0.4x + -0.4x

Combine like terms: -0.6x + -0.4x = -1x
7.2 + -1x = -0.8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
7.2 + -1x = -0.8 + 0.0
7.2 + -1x = -0.8

Add '-7.2' to each side of the equation.
7.2 + -7.2 + -1x = -0.8 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -1x = -0.8 + -7.2
-1x = -0.8 + -7.2

Combine like terms: -0.8 + -7.2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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