0.6x-0.4=0.8(2x-8)-0.6

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Solution for 0.6x-0.4=0.8(2x-8)-0.6 equation: 


Simplifying
0.6x + -0.4 = 0.8(2x + -8) + -0.6

Reorder the terms:
-0.4 + 0.6x = 0.8(2x + -8) + -0.6

Reorder the terms:
-0.4 + 0.6x = 0.8(-8 + 2x) + -0.6
-0.4 + 0.6x = (-8 * 0.8 + 2x * 0.8) + -0.6
-0.4 + 0.6x = (-6.4 + 1.6x) + -0.6

Reorder the terms:
-0.4 + 0.6x = -6.4 + -0.6 + 1.6x

Combine like terms: -6.4 + -0.6 = -7
-0.4 + 0.6x = -7 + 1.6x

Solving
-0.4 + 0.6x = -7 + 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
-0.4 + 0.6x + -1.6x = -7 + 1.6x + -1.6x

Combine like terms: 0.6x + -1.6x = -1x
-0.4 + -1x = -7 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
-0.4 + -1x = -7 + 0.0
-0.4 + -1x = -7

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -1x = -7 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -1x = -7 + 0.4
-1x = -7 + 0.4

Combine like terms: -7 + 0.4 = -6.6
-1x = -6.6

Divide each side by '-1'.
x = 6.6

Simplifying
x = 6.6

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