(x*0.9)+(x*0.1)=15+(x*0.9)+(((x*0.9)+(x*0.1))-15)

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Solution for (x*0.9)+(x*0.1)=15+(x*0.9)+(((x*0.9)+(x*0.1))-15) equation: 


Simplifying
(x * 0.9) + (x * 0.1) = 15 + (x * 0.9) + (((x * 0.9) + (x * 0.1)) + -15)

Reorder the terms for easier multiplication:
(0.9x) + (x * 0.1) = 15 + (x * 0.9) + (((x * 0.9) + (x * 0.1)) + -15)

Reorder the terms for easier multiplication:
(0.9x) + (0.1x) = 15 + (x * 0.9) + (((x * 0.9) + (x * 0.1)) + -15)

Combine like terms: (0.9x) + (0.1x) = 1x
1x = 15 + (x * 0.9) + (((x * 0.9) + (x * 0.1)) + -15)

Reorder the terms for easier multiplication:
1x = 15 + (0.9x) + (((x * 0.9) + (x * 0.1)) + -15)

Reorder the terms for easier multiplication:
1x = 15 + (0.9x) + (((0.9x) + (x * 0.1)) + -15)

Reorder the terms for easier multiplication:
1x = 15 + (0.9x) + (((0.9x) + (0.1x)) + -15)

Combine like terms: (0.9x) + (0.1x) = 1x
1x = 15 + (0.9x) + ((1x) + -15)
1x = 15 + (0.9x) + ((1x) + -15)

Reorder the terms:
1x = 15 + (0.9x) + (-15 + (1x))

Remove parenthesis around (-15 + (1x))
1x = 15 + (0.9x) + -15 + (1x)

Reorder the terms:
1x = 15 + -15 + (0.9x) + (1x)

Combine like terms: 15 + -15 = 0
1x = 0 + (0.9x) + (1x)
1x = (0.9x) + (1x)

Combine like terms: (0.9x) + (1x) = 1.9x
1x = 1.9x

Solving
1x = 1.9x

Solving for variable 'x'.

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

Add '-1.9x' to each side of the equation.
1x + -1.9x = 1.9x + -1.9x

Combine like terms: 1x + -1.9x = -0.9x
-0.9x = 1.9x + -1.9x

Combine like terms: 1.9x + -1.9x = 0.0
-0.9x = 0.0

Divide each side by '-0.9'.
x = 0

Simplifying
x = 0

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