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

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


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

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

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

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

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

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

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

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

Combine like terms: (0.9x) + (1x) = 1.9x
1x = 15 + 1.9x

Solving
1x = 15 + 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 = 15 + 1.9x + -1.9x

Combine like terms: 1x + -1.9x = -0.9x
-0.9x = 15 + 1.9x + -1.9x

Combine like terms: 1.9x + -1.9x = 0.0
-0.9x = 15 + 0.0
-0.9x = 15

Divide each side by '-0.9'.
x = -16.66666667

Simplifying
x = -16.66666667

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