-3.2x+10.2=1.3x+4.0

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Solution for -3.2x+10.2=1.3x+4.0 equation: 


Simplifying
-3.2x + 10.2 = 1.3x + 4.0

Reorder the terms:
10.2 + -3.2x = 1.3x + 4.0

Reorder the terms:
10.2 + -3.2x = 4.0 + 1.3x

Solving
10.2 + -3.2x = 4.0 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
10.2 + -3.2x + -1.3x = 4.0 + 1.3x + -1.3x

Combine like terms: -3.2x + -1.3x = -4.5x
10.2 + -4.5x = 4.0 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
10.2 + -4.5x = 4.0 + 0.0
10.2 + -4.5x = 4.0

Add '-10.2' to each side of the equation.
10.2 + -10.2 + -4.5x = 4.0 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + -4.5x = 4.0 + -10.2
-4.5x = 4.0 + -10.2

Combine like terms: 4.0 + -10.2 = -6.2
-4.5x = -6.2

Divide each side by '-4.5'.
x = 1.377777778

Simplifying
x = 1.377777778

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