1.5x+8.2=3.2x-2

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Solution for 1.5x+8.2=3.2x-2 equation: 


Simplifying
1.5x + 8.2 = 3.2x + -2

Reorder the terms:
8.2 + 1.5x = 3.2x + -2

Reorder the terms:
8.2 + 1.5x = -2 + 3.2x

Solving
8.2 + 1.5x = -2 + 3.2x

Solving for variable 'x'.

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

Add '-3.2x' to each side of the equation.
8.2 + 1.5x + -3.2x = -2 + 3.2x + -3.2x

Combine like terms: 1.5x + -3.2x = -1.7x
8.2 + -1.7x = -2 + 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
8.2 + -1.7x = -2 + 0.0
8.2 + -1.7x = -2

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -1.7x = -2 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -1.7x = -2 + -8.2
-1.7x = -2 + -8.2

Combine like terms: -2 + -8.2 = -10.2
-1.7x = -10.2

Divide each side by '-1.7'.
x = 6

Simplifying
x = 6

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