x+0.20=0.90x+1.80

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Solution for x+0.20=0.90x+1.80 equation: 


Simplifying
x + 0.20 = 0.90x + 1.80

Reorder the terms:
0.20 + x = 0.90x + 1.80

Reorder the terms:
0.20 + x = 1.80 + 0.90x

Solving
0.20 + x = 1.80 + 0.90x

Solving for variable 'x'.

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

Add '-0.90x' to each side of the equation.
0.20 + x + -0.90x = 1.80 + 0.90x + -0.90x

Combine like terms: x + -0.90x = 0.1x
0.20 + 0.1x = 1.80 + 0.90x + -0.90x

Combine like terms: 0.90x + -0.90x = 0.00
0.20 + 0.1x = 1.80 + 0.00
0.20 + 0.1x = 1.80

Add '-0.20' to each side of the equation.
0.20 + -0.20 + 0.1x = 1.80 + -0.20

Combine like terms: 0.20 + -0.20 = 0.00
0.00 + 0.1x = 1.80 + -0.20
0.1x = 1.80 + -0.20

Combine like terms: 1.80 + -0.20 = 1.6
0.1x = 1.6

Divide each side by '0.1'.
x = 16

Simplifying
x = 16

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