.8x-.2(19-3x)=-.4(x-4)

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Solution for .8x-.2(19-3x)=-.4(x-4) equation:


Simplifying
0.8x + -0.2(19 + -3x) = -0.4(x + -4)
0.8x + (19 * -0.2 + -3x * -0.2) = -0.4(x + -4)
0.8x + (-3.8 + 0.6x) = -0.4(x + -4)

Reorder the terms:
-3.8 + 0.8x + 0.6x = -0.4(x + -4)

Combine like terms: 0.8x + 0.6x = 1.4x
-3.8 + 1.4x = -0.4(x + -4)

Reorder the terms:
-3.8 + 1.4x = -0.4(-4 + x)
-3.8 + 1.4x = (-4 * -0.4 + x * -0.4)
-3.8 + 1.4x = (1.6 + -0.4x)

Solving
-3.8 + 1.4x = 1.6 + -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.
-3.8 + 1.4x + 0.4x = 1.6 + -0.4x + 0.4x

Combine like terms: 1.4x + 0.4x = 1.8x
-3.8 + 1.8x = 1.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-3.8 + 1.8x = 1.6 + 0.0
-3.8 + 1.8x = 1.6

Add '3.8' to each side of the equation.
-3.8 + 3.8 + 1.8x = 1.6 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + 1.8x = 1.6 + 3.8
1.8x = 1.6 + 3.8

Combine like terms: 1.6 + 3.8 = 5.4
1.8x = 5.4

Divide each side by '1.8'.
x = 3

Simplifying
x = 3

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