-0.3(2x-6)=0.7(6-x)

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Solution for -0.3(2x-6)=0.7(6-x) equation: 


Simplifying
-0.3(2x + -6) = 0.7(6 + -1x)

Reorder the terms:
-0.3(-6 + 2x) = 0.7(6 + -1x)
(-6 * -0.3 + 2x * -0.3) = 0.7(6 + -1x)
(1.8 + -0.6x) = 0.7(6 + -1x)
1.8 + -0.6x = (6 * 0.7 + -1x * 0.7)
1.8 + -0.6x = (4.2 + -0.7x)

Solving
1.8 + -0.6x = 4.2 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
1.8 + -0.6x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.6x + 0.7x = 0.1x
1.8 + 0.1x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
1.8 + 0.1x = 4.2 + 0.0
1.8 + 0.1x = 4.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.1x = 4.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.1x = 4.2 + -1.8
0.1x = 4.2 + -1.8

Combine like terms: 4.2 + -1.8 = 2.4
0.1x = 2.4

Divide each side by '0.1'.
x = 24

Simplifying
x = 24

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