0.8-4(x-1)=0.2+3(4-x)

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Solution for 0.8-4(x-1)=0.2+3(4-x) equation: 


Simplifying
0.8 + -4(x + -1) = 0.2 + 3(4 + -1x)

Reorder the terms:
0.8 + -4(-1 + x) = 0.2 + 3(4 + -1x)
0.8 + (-1 * -4 + x * -4) = 0.2 + 3(4 + -1x)
0.8 + (4 + -4x) = 0.2 + 3(4 + -1x)

Combine like terms: 0.8 + 4 = 4.8
4.8 + -4x = 0.2 + 3(4 + -1x)
4.8 + -4x = 0.2 + (4 * 3 + -1x * 3)
4.8 + -4x = 0.2 + (12 + -3x)

Combine like terms: 0.2 + 12 = 12.2
4.8 + -4x = 12.2 + -3x

Solving
4.8 + -4x = 12.2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4.8 + -4x + 3x = 12.2 + -3x + 3x

Combine like terms: -4x + 3x = -1x
4.8 + -1x = 12.2 + -3x + 3x

Combine like terms: -3x + 3x = 0
4.8 + -1x = 12.2 + 0
4.8 + -1x = 12.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -1x = 12.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -1x = 12.2 + -4.8
-1x = 12.2 + -4.8

Combine like terms: 12.2 + -4.8 = 7.4
-1x = 7.4

Divide each side by '-1'.
x = -7.4

Simplifying
x = -7.4

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