5182=x-(6000(.18))-((x-6000)(.225))

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Solution for 5182=x-(6000(.18))-((x-6000)(.225)) equation:


Simplifying
5182 = x + -1(6000(0.18)) + -1((x + -6000)(0.225))

Multiply 6000 * 0.18
5182 = x + -1(1080) + -1((x + -6000)(0.225))

Multiply -1 * 1080
5182 = x + -1080 + -1((x + -6000)(0.225))

Reorder the terms:
5182 = x + -1080 + -1((-6000 + x)(0.225))

Reorder the terms for easier multiplication:
5182 = x + -1080 + -1(0.225(-6000 + x))
5182 = x + -1080 + -1((-6000 * 0.225 + x * 0.225))
5182 = x + -1080 + -1((-1350 + 0.225x))
5182 = x + -1080 + (-1350 * -1 + 0.225x * -1)
5182 = x + -1080 + (1350 + -0.225x)

Reorder the terms:
5182 = -1080 + 1350 + x + -0.225x

Combine like terms: -1080 + 1350 = 270
5182 = 270 + x + -0.225x

Combine like terms: x + -0.225x = 0.775x
5182 = 270 + 0.775x

Solving
5182 = 270 + 0.775x

Solving for variable 'x'.

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

Add '-0.775x' to each side of the equation.
5182 + -0.775x = 270 + 0.775x + -0.775x

Combine like terms: 0.775x + -0.775x = 0.000
5182 + -0.775x = 270 + 0.000
5182 + -0.775x = 270

Add '-5182' to each side of the equation.
5182 + -5182 + -0.775x = 270 + -5182

Combine like terms: 5182 + -5182 = 0
0 + -0.775x = 270 + -5182
-0.775x = 270 + -5182

Combine like terms: 270 + -5182 = -4912
-0.775x = -4912

Divide each side by '-0.775'.
x = 6338.064516

Simplifying
x = 6338.064516

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