5(x+200-2(x-3x))=8500

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Solution for 5(x+200-2(x-3x))=8500 equation:


Simplifying
5(x + 200 + -2(x + -3x)) = 8500

Combine like terms: x + -3x = -2x
5(x + 200 + -2(-2x)) = 8500

Remove parenthesis around (-2x)
5(x + 200 + -2 * -2x) = 8500

Multiply -2 * -2
5(x + 200 + 4x) = 8500

Reorder the terms:
5(200 + x + 4x) = 8500

Combine like terms: x + 4x = 5x
5(200 + 5x) = 8500
(200 * 5 + 5x * 5) = 8500
(1000 + 25x) = 8500

Solving
1000 + 25x = 8500

Solving for variable 'x'.

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

Add '-1000' to each side of the equation.
1000 + -1000 + 25x = 8500 + -1000

Combine like terms: 1000 + -1000 = 0
0 + 25x = 8500 + -1000
25x = 8500 + -1000

Combine like terms: 8500 + -1000 = 7500
25x = 7500

Divide each side by '25'.
x = 300

Simplifying
x = 300

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