x+1.09=0.90x

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Solution for x+1.09=0.90x equation:


Simplifying
x + 1.09 = 0.90x

Reorder the terms:
1.09 + x = 0.90x

Solving
1.09 + x = 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.
1.09 + x + -0.90x = 0.90x + -0.90x

Combine like terms: x + -0.90x = 0.1x
1.09 + 0.1x = 0.90x + -0.90x

Combine like terms: 0.90x + -0.90x = 0.00
1.09 + 0.1x = 0.00

Add '-1.09' to each side of the equation.
1.09 + -1.09 + 0.1x = 0.00 + -1.09

Combine like terms: 1.09 + -1.09 = 0.00
0.00 + 0.1x = 0.00 + -1.09
0.1x = 0.00 + -1.09

Combine like terms: 0.00 + -1.09 = -1.09
0.1x = -1.09

Divide each side by '0.1'.
x = -10.9

Simplifying
x = -10.9

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