0.1x-0.8(20-5x)=-0.4(x-5)

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Solution for 0.1x-0.8(20-5x)=-0.4(x-5) equation:


Simplifying
0.1x + -0.8(20 + -5x) = -0.4(x + -5)
0.1x + (20 * -0.8 + -5x * -0.8) = -0.4(x + -5)
0.1x + (-16 + 4x) = -0.4(x + -5)

Reorder the terms:
-16 + 0.1x + 4x = -0.4(x + -5)

Combine like terms: 0.1x + 4x = 4.1x
-16 + 4.1x = -0.4(x + -5)

Reorder the terms:
-16 + 4.1x = -0.4(-5 + x)
-16 + 4.1x = (-5 * -0.4 + x * -0.4)
-16 + 4.1x = (2 + -0.4x)

Solving
-16 + 4.1x = 2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-16 + 4.1x + 0.4x = 2 + -0.4x + 0.4x

Combine like terms: 4.1x + 0.4x = 4.5x
-16 + 4.5x = 2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-16 + 4.5x = 2 + 0.0
-16 + 4.5x = 2

Add '16' to each side of the equation.
-16 + 16 + 4.5x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 4.5x = 2 + 16
4.5x = 2 + 16

Combine like terms: 2 + 16 = 18
4.5x = 18

Divide each side by '4.5'.
x = 4

Simplifying
x = 4

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