100=(100+x)*0.0765-x

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Solution for 100=(100+x)*0.0765-x equation: 


Simplifying
100 = (100 + x) * 0.0765 + -1x

Reorder the terms for easier multiplication:
100 = 0.0765(100 + x) + -1x
100 = (100 * 0.0765 + x * 0.0765) + -1x
100 = (7.65 + 0.0765x) + -1x

Combine like terms: 0.0765x + -1x = -0.9235x
100 = 7.65 + -0.9235x

Solving
100 = 7.65 + -0.9235x

Solving for variable 'x'.

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

Add '0.9235x' to each side of the equation.
100 + 0.9235x = 7.65 + -0.9235x + 0.9235x

Combine like terms: -0.9235x + 0.9235x = 0.0000
100 + 0.9235x = 7.65 + 0.0000
100 + 0.9235x = 7.65

Add '-100' to each side of the equation.
100 + -100 + 0.9235x = 7.65 + -100

Combine like terms: 100 + -100 = 0
0 + 0.9235x = 7.65 + -100
0.9235x = 7.65 + -100

Combine like terms: 7.65 + -100 = -92.35
0.9235x = -92.35

Divide each side by '0.9235'.
x = -100

Simplifying
x = -100

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