1.5x+0.4=3.2x-3

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Solution for 1.5x+0.4=3.2x-3 equation: 


Simplifying
1.5x + 0.4 = 3.2x + -3

Reorder the terms:
0.4 + 1.5x = 3.2x + -3

Reorder the terms:
0.4 + 1.5x = -3 + 3.2x

Solving
0.4 + 1.5x = -3 + 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.
0.4 + 1.5x + -3.2x = -3 + 3.2x + -3.2x

Combine like terms: 1.5x + -3.2x = -1.7x
0.4 + -1.7x = -3 + 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
0.4 + -1.7x = -3 + 0.0
0.4 + -1.7x = -3

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -1.7x = -3 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.7x = -3 + -0.4
-1.7x = -3 + -0.4

Combine like terms: -3 + -0.4 = -3.4
-1.7x = -3.4

Divide each side by '-1.7'.
x = 2

Simplifying
x = 2

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