x-(x*0.15+500)=5100

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Solution for x-(x*0.15+500)=5100 equation:


Simplifying
x + -1(x * 0.15 + 500) = 5100

Reorder the terms for easier multiplication:
x + -1(0.15x + 500) = 5100

Reorder the terms:
x + -1(500 + 0.15x) = 5100
x + (500 * -1 + 0.15x * -1) = 5100
x + (-500 + -0.15x) = 5100

Reorder the terms:
-500 + x + -0.15x = 5100

Combine like terms: x + -0.15x = 0.85x
-500 + 0.85x = 5100

Solving
-500 + 0.85x = 5100

Solving for variable 'x'.

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

Add '500' to each side of the equation.
-500 + 500 + 0.85x = 5100 + 500

Combine like terms: -500 + 500 = 0
0 + 0.85x = 5100 + 500
0.85x = 5100 + 500

Combine like terms: 5100 + 500 = 5600
0.85x = 5600

Divide each side by '0.85'.
x = 6588.235294

Simplifying
x = 6588.235294

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