0.6(2-3x)=1-0.3(x-4)

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Solution for 0.6(2-3x)=1-0.3(x-4) equation: 


Simplifying
0.6(2 + -3x) = 1 + -0.3(x + -4)
(2 * 0.6 + -3x * 0.6) = 1 + -0.3(x + -4)
(1.2 + -1.8x) = 1 + -0.3(x + -4)

Reorder the terms:
1.2 + -1.8x = 1 + -0.3(-4 + x)
1.2 + -1.8x = 1 + (-4 * -0.3 + x * -0.3)
1.2 + -1.8x = 1 + (1.2 + -0.3x)

Combine like terms: 1 + 1.2 = 2.2
1.2 + -1.8x = 2.2 + -0.3x

Solving
1.2 + -1.8x = 2.2 + -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.
1.2 + -1.8x + 0.3x = 2.2 + -0.3x + 0.3x

Combine like terms: -1.8x + 0.3x = -1.5x
1.2 + -1.5x = 2.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
1.2 + -1.5x = 2.2 + 0.0
1.2 + -1.5x = 2.2

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -1.5x = 2.2 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.5x = 2.2 + -1.2
-1.5x = 2.2 + -1.2

Combine like terms: 2.2 + -1.2 = 1
-1.5x = 1

Divide each side by '-1.5'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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