15000=(x+0.07)+((x+0.07)*0.1)

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Solution for 15000=(x+0.07)+((x+0.07)*0.1) equation:


Simplifying
15000 = (x + 0.07) + ((x + 0.07) * 0.1)

Reorder the terms:
15000 = (0.07 + x) + ((x + 0.07) * 0.1)

Remove parenthesis around (0.07 + x)
15000 = 0.07 + x + ((x + 0.07) * 0.1)

Reorder the terms:
15000 = 0.07 + x + ((0.07 + x) * 0.1)

Reorder the terms for easier multiplication:
15000 = 0.07 + x + (0.1(0.07 + x))
15000 = 0.07 + x + ((0.07 * 0.1 + x * 0.1))
15000 = 0.07 + x + ((0.007 + 0.1x))
15000 = 0.07 + x + (0.007 + 0.1x)

Remove parenthesis around (0.007 + 0.1x)
15000 = 0.07 + x + 0.007 + 0.1x

Reorder the terms:
15000 = 0.07 + 0.007 + x + 0.1x

Combine like terms: 0.07 + 0.007 = 0.077
15000 = 0.077 + x + 0.1x

Combine like terms: x + 0.1x = 1.1x
15000 = 0.077 + 1.1x

Solving
15000 = 0.077 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
15000 + -1.1x = 0.077 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
15000 + -1.1x = 0.077 + 0.0
15000 + -1.1x = 0.077

Add '-15000' to each side of the equation.
15000 + -15000 + -1.1x = 0.077 + -15000

Combine like terms: 15000 + -15000 = 0
0 + -1.1x = 0.077 + -15000
-1.1x = 0.077 + -15000

Combine like terms: 0.077 + -15000 = -14999.923
-1.1x = -14999.923

Divide each side by '-1.1'.
x = 13636.29364

Simplifying
x = 13636.29364

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