0.7x+0.2=0.9x-0.4

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Solution for 0.7x+0.2=0.9x-0.4 equation: 


Simplifying
0.7x + 0.2 = 0.9x + -0.4

Reorder the terms:
0.2 + 0.7x = 0.9x + -0.4

Reorder the terms:
0.2 + 0.7x = -0.4 + 0.9x

Solving
0.2 + 0.7x = -0.4 + 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 + 0.7x + -0.9x = -0.4 + 0.9x + -0.9x

Combine like terms: 0.7x + -0.9x = -0.2x
0.2 + -0.2x = -0.4 + 0.9x + -0.9x

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

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

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

Combine like terms: -0.4 + -0.2 = -0.6
-0.2x = -0.6

Divide each side by '-0.2'.
x = 3

Simplifying
x = 3

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