7500=800+(0.8*7500-x)+500+900

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Solution for 7500=800+(0.8*7500-x)+500+900 equation:


Simplifying
7500 = 800 + (0.8 * 7500 + -1x) + 500 + 900

Multiply 0.8 * 7500
7500 = 800 + (6000 + -1x) + 500 + 900

Remove parenthesis around (6000 + -1x)
7500 = 800 + 6000 + -1x + 500 + 900

Reorder the terms:
7500 = 800 + 6000 + 500 + 900 + -1x

Combine like terms: 800 + 6000 = 6800
7500 = 6800 + 500 + 900 + -1x

Combine like terms: 6800 + 500 = 7300
7500 = 7300 + 900 + -1x

Combine like terms: 7300 + 900 = 8200
7500 = 8200 + -1x

Solving
7500 = 8200 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7500 + x = 8200 + -1x + x

Combine like terms: -1x + x = 0
7500 + x = 8200 + 0
7500 + x = 8200

Add '-7500' to each side of the equation.
7500 + -7500 + x = 8200 + -7500

Combine like terms: 7500 + -7500 = 0
0 + x = 8200 + -7500
x = 8200 + -7500

Combine like terms: 8200 + -7500 = 700
x = 700

Simplifying
x = 700

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