0.2x-0.7(4-2x)=-0.1(x-6)

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Solution for 0.2x-0.7(4-2x)=-0.1(x-6) equation: 


Simplifying
0.2x + -0.7(4 + -2x) = -0.1(x + -6)
0.2x + (4 * -0.7 + -2x * -0.7) = -0.1(x + -6)
0.2x + (-2.8 + 1.4x) = -0.1(x + -6)

Reorder the terms:
-2.8 + 0.2x + 1.4x = -0.1(x + -6)

Combine like terms: 0.2x + 1.4x = 1.6x
-2.8 + 1.6x = -0.1(x + -6)

Reorder the terms:
-2.8 + 1.6x = -0.1(-6 + x)
-2.8 + 1.6x = (-6 * -0.1 + x * -0.1)
-2.8 + 1.6x = (0.6 + -0.1x)

Solving
-2.8 + 1.6x = 0.6 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
-2.8 + 1.6x + 0.1x = 0.6 + -0.1x + 0.1x

Combine like terms: 1.6x + 0.1x = 1.7x
-2.8 + 1.7x = 0.6 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-2.8 + 1.7x = 0.6 + 0.0
-2.8 + 1.7x = 0.6

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 1.7x = 0.6 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 1.7x = 0.6 + 2.8
1.7x = 0.6 + 2.8

Combine like terms: 0.6 + 2.8 = 3.4
1.7x = 3.4

Divide each side by '1.7'.
x = 2

Simplifying
x = 2

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