-02(x-6)+x=0.3(4-x)

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Solution for -02(x-6)+x=0.3(4-x) equation:


Simplifying
-2(x + -6) + x = 0.3(4 + -1x)

Reorder the terms:
-2(-6 + x) + x = 0.3(4 + -1x)
(-6 * -2 + x * -2) + x = 0.3(4 + -1x)
(12 + -2x) + x = 0.3(4 + -1x)

Combine like terms: -2x + x = -1x
12 + -1x = 0.3(4 + -1x)
12 + -1x = (4 * 0.3 + -1x * 0.3)
12 + -1x = (1.2 + -0.3x)

Solving
12 + -1x = 1.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
12 + -1x + 0.3x = 1.2 + -0.3x + 0.3x

Combine like terms: -1x + 0.3x = -0.7x
12 + -0.7x = 1.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
12 + -0.7x = 1.2 + 0.0
12 + -0.7x = 1.2

Add '-12' to each side of the equation.
12 + -12 + -0.7x = 1.2 + -12

Combine like terms: 12 + -12 = 0
0 + -0.7x = 1.2 + -12
-0.7x = 1.2 + -12

Combine like terms: 1.2 + -12 = -10.8
-0.7x = -10.8

Divide each side by '-0.7'.
x = 15.42857143

Simplifying
x = 15.42857143

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