(x-100)*0.22=(x-0)*0.18

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Solution for (x-100)*0.22=(x-0)*0.18 equation:


Simplifying
(x + -100) * 0.22 = (x + 0) * 0.18

Reorder the terms:
(-100 + x) * 0.22 = (x + 0) * 0.18

Reorder the terms for easier multiplication:
0.22(-100 + x) = (x + 0) * 0.18
(-100 * 0.22 + x * 0.22) = (x + 0) * 0.18
(-22 + 0.22x) = (x + 0) * 0.18

Reorder the terms:
-22 + 0.22x = (0 + x) * 0.18
Remove the zero:
-22 + 0.22x = (x) * 0.18

Reorder the terms for easier multiplication:
-22 + 0.22x = 0.18x

Solving
-22 + 0.22x = 0.18x

Solving for variable 'x'.

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

Add '-0.18x' to each side of the equation.
-22 + 0.22x + -0.18x = 0.18x + -0.18x

Combine like terms: 0.22x + -0.18x = 0.04x
-22 + 0.04x = 0.18x + -0.18x

Combine like terms: 0.18x + -0.18x = 0.00
-22 + 0.04x = 0.00

Add '22' to each side of the equation.
-22 + 22 + 0.04x = 0.00 + 22

Combine like terms: -22 + 22 = 0
0 + 0.04x = 0.00 + 22
0.04x = 0.00 + 22

Combine like terms: 0.00 + 22 = 22
0.04x = 22

Divide each side by '0.04'.
x = 550

Simplifying
x = 550

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