0.2(x-6)=4x-3(x-1)+3.8

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Solution for 0.2(x-6)=4x-3(x-1)+3.8 equation: 


Simplifying
0.2(x + -6) = 4x + -3(x + -1) + 3.8

Reorder the terms:
0.2(-6 + x) = 4x + -3(x + -1) + 3.8
(-6 * 0.2 + x * 0.2) = 4x + -3(x + -1) + 3.8
(-1.2 + 0.2x) = 4x + -3(x + -1) + 3.8

Reorder the terms:
-1.2 + 0.2x = 4x + -3(-1 + x) + 3.8
-1.2 + 0.2x = 4x + (-1 * -3 + x * -3) + 3.8
-1.2 + 0.2x = 4x + (3 + -3x) + 3.8

Reorder the terms:
-1.2 + 0.2x = 3 + 3.8 + 4x + -3x

Combine like terms: 3 + 3.8 = 6.8
-1.2 + 0.2x = 6.8 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-1.2 + 0.2x = 6.8 + 1x

Solving
-1.2 + 0.2x = 6.8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.2 + 0.2x + -1x = 6.8 + 1x + -1x

Combine like terms: 0.2x + -1x = -0.8x
-1.2 + -0.8x = 6.8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1.2 + -0.8x = 6.8 + 0
-1.2 + -0.8x = 6.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.8x = 6.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.8x = 6.8 + 1.2
-0.8x = 6.8 + 1.2

Combine like terms: 6.8 + 1.2 = 8
-0.8x = 8

Divide each side by '-0.8'.
x = -10

Simplifying
x = -10

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