x*3.2+0.8=x*5.7-0.4

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Solution for x*3.2+0.8=x*5.7-0.4 equation: 


Simplifying
x * 3.2 + 0.8 = x * 5.7 + -0.4

Reorder the terms for easier multiplication:
3.2x + 0.8 = x * 5.7 + -0.4

Reorder the terms:
0.8 + 3.2x = x * 5.7 + -0.4

Reorder the terms for easier multiplication:
0.8 + 3.2x = 5.7x + -0.4

Reorder the terms:
0.8 + 3.2x = -0.4 + 5.7x

Solving
0.8 + 3.2x = -0.4 + 5.7x

Solving for variable 'x'.

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

Add '-5.7x' to each side of the equation.
0.8 + 3.2x + -5.7x = -0.4 + 5.7x + -5.7x

Combine like terms: 3.2x + -5.7x = -2.5x
0.8 + -2.5x = -0.4 + 5.7x + -5.7x

Combine like terms: 5.7x + -5.7x = 0.0
0.8 + -2.5x = -0.4 + 0.0
0.8 + -2.5x = -0.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -2.5x = -0.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -2.5x = -0.4 + -0.8
-2.5x = -0.4 + -0.8

Combine like terms: -0.4 + -0.8 = -1.2
-2.5x = -1.2

Divide each side by '-2.5'.
x = 0.48

Simplifying
x = 0.48

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