.2x-.8(5-4x)=-.7(x-6)

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Solution for .2x-.8(5-4x)=-.7(x-6) equation:


Simplifying
0.2x + -0.8(5 + -4x) = -0.7(x + -6)
0.2x + (5 * -0.8 + -4x * -0.8) = -0.7(x + -6)
0.2x + (-4 + 3.2x) = -0.7(x + -6)

Reorder the terms:
-4 + 0.2x + 3.2x = -0.7(x + -6)

Combine like terms: 0.2x + 3.2x = 3.4x
-4 + 3.4x = -0.7(x + -6)

Reorder the terms:
-4 + 3.4x = -0.7(-6 + x)
-4 + 3.4x = (-6 * -0.7 + x * -0.7)
-4 + 3.4x = (4.2 + -0.7x)

Solving
-4 + 3.4x = 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.
-4 + 3.4x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 3.4x + 0.7x = 4.1x
-4 + 4.1x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-4 + 4.1x = 4.2 + 0.0
-4 + 4.1x = 4.2

Add '4' to each side of the equation.
-4 + 4 + 4.1x = 4.2 + 4

Combine like terms: -4 + 4 = 0
0 + 4.1x = 4.2 + 4
4.1x = 4.2 + 4

Combine like terms: 4.2 + 4 = 8.2
4.1x = 8.2

Divide each side by '4.1'.
x = 2

Simplifying
x = 2

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