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

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


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

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

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

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

Combine like terms: -0.7x + 0.7x = 0.0
0.6 + 0.1x = 4.2 + 0.0
0.6 + 0.1x = 4.2

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.1x = 4.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.1x = 4.2 + -0.6
0.1x = 4.2 + -0.6

Combine like terms: 4.2 + -0.6 = 3.6
0.1x = 3.6

Divide each side by '0.1'.
x = 36

Simplifying
x = 36

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