0.2(4-x)+0.3x=0.7x+0.9

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Solution for 0.2(4-x)+0.3x=0.7x+0.9 equation: 


Simplifying
0.2(4 + -1x) + 0.3x = 0.7x + 0.9
(4 * 0.2 + -1x * 0.2) + 0.3x = 0.7x + 0.9
(0.8 + -0.2x) + 0.3x = 0.7x + 0.9

Combine like terms: -0.2x + 0.3x = 0.1x
0.8 + 0.1x = 0.7x + 0.9

Reorder the terms:
0.8 + 0.1x = 0.9 + 0.7x

Solving
0.8 + 0.1x = 0.9 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
0.8 + 0.1x + -0.7x = 0.9 + 0.7x + -0.7x

Combine like terms: 0.1x + -0.7x = -0.6x
0.8 + -0.6x = 0.9 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
0.8 + -0.6x = 0.9 + 0.0
0.8 + -0.6x = 0.9

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.6x = 0.9 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.6x = 0.9 + -0.8
-0.6x = 0.9 + -0.8

Combine like terms: 0.9 + -0.8 = 0.1
-0.6x = 0.1

Divide each side by '-0.6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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