0.6x-0.1(20-3x)=-0.8(x-6)

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Solution for 0.6x-0.1(20-3x)=-0.8(x-6) equation: 


Simplifying
0.6x + -0.1(20 + -3x) = -0.8(x + -6)
0.6x + (20 * -0.1 + -3x * -0.1) = -0.8(x + -6)
0.6x + (-2 + 0.3x) = -0.8(x + -6)

Reorder the terms:
-2 + 0.6x + 0.3x = -0.8(x + -6)

Combine like terms: 0.6x + 0.3x = 0.9x
-2 + 0.9x = -0.8(x + -6)

Reorder the terms:
-2 + 0.9x = -0.8(-6 + x)
-2 + 0.9x = (-6 * -0.8 + x * -0.8)
-2 + 0.9x = (4.8 + -0.8x)

Solving
-2 + 0.9x = 4.8 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-2 + 0.9x + 0.8x = 4.8 + -0.8x + 0.8x

Combine like terms: 0.9x + 0.8x = 1.7x
-2 + 1.7x = 4.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-2 + 1.7x = 4.8 + 0.0
-2 + 1.7x = 4.8

Add '2' to each side of the equation.
-2 + 2 + 1.7x = 4.8 + 2

Combine like terms: -2 + 2 = 0
0 + 1.7x = 4.8 + 2
1.7x = 4.8 + 2

Combine like terms: 4.8 + 2 = 6.8
1.7x = 6.8

Divide each side by '1.7'.
x = 4

Simplifying
x = 4

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