0.4x+1.3=0.9x-3.2

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Solution for 0.4x+1.3=0.9x-3.2 equation: 


Simplifying
0.4x + 1.3 = 0.9x + -3.2

Reorder the terms:
1.3 + 0.4x = 0.9x + -3.2

Reorder the terms:
1.3 + 0.4x = -3.2 + 0.9x

Solving
1.3 + 0.4x = -3.2 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
1.3 + 0.4x + -0.9x = -3.2 + 0.9x + -0.9x

Combine like terms: 0.4x + -0.9x = -0.5x
1.3 + -0.5x = -3.2 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
1.3 + -0.5x = -3.2 + 0.0
1.3 + -0.5x = -3.2

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -0.5x = -3.2 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -0.5x = -3.2 + -1.3
-0.5x = -3.2 + -1.3

Combine like terms: -3.2 + -1.3 = -4.5
-0.5x = -4.5

Divide each side by '-0.5'.
x = 9

Simplifying
x = 9

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