0.5x+0.2=0.9x-3.4

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Solution for 0.5x+0.2=0.9x-3.4 equation: 


Simplifying
0.5x + 0.2 = 0.9x + -3.4

Reorder the terms:
0.2 + 0.5x = 0.9x + -3.4

Reorder the terms:
0.2 + 0.5x = -3.4 + 0.9x

Solving
0.2 + 0.5x = -3.4 + 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.
0.2 + 0.5x + -0.9x = -3.4 + 0.9x + -0.9x

Combine like terms: 0.5x + -0.9x = -0.4x
0.2 + -0.4x = -3.4 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.2 + -0.4x = -3.4 + 0.0
0.2 + -0.4x = -3.4

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.4x = -3.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4x = -3.4 + -0.2
-0.4x = -3.4 + -0.2

Combine like terms: -3.4 + -0.2 = -3.6
-0.4x = -3.6

Divide each side by '-0.4'.
x = 9

Simplifying
x = 9

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