50(x-10)(4.18)=50(x-90)(.45)

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Solution for 50(x-10)(4.18)=50(x-90)(.45) equation:


Simplifying
50(x + -10)(4.18) = 50(x + -90)(0.45)

Reorder the terms:
50(-10 + x)(4.18) = 50(x + -90)(0.45)

Reorder the terms for easier multiplication:
50 * 4.18(-10 + x) = 50(x + -90)(0.45)

Multiply 50 * 4.18
209(-10 + x) = 50(x + -90)(0.45)
(-10 * 209 + x * 209) = 50(x + -90)(0.45)
(-2090 + 209x) = 50(x + -90)(0.45)

Reorder the terms:
-2090 + 209x = 50(-90 + x)(0.45)

Reorder the terms for easier multiplication:
-2090 + 209x = 50 * 0.45(-90 + x)

Multiply 50 * 0.45
-2090 + 209x = 22.5(-90 + x)
-2090 + 209x = (-90 * 22.5 + x * 22.5)
-2090 + 209x = (-2025 + 22.5x)

Solving
-2090 + 209x = -2025 + 22.5x

Solving for variable 'x'.

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

Add '-22.5x' to each side of the equation.
-2090 + 209x + -22.5x = -2025 + 22.5x + -22.5x

Combine like terms: 209x + -22.5x = 186.5x
-2090 + 186.5x = -2025 + 22.5x + -22.5x

Combine like terms: 22.5x + -22.5x = 0.0
-2090 + 186.5x = -2025 + 0.0
-2090 + 186.5x = -2025

Add '2090' to each side of the equation.
-2090 + 2090 + 186.5x = -2025 + 2090

Combine like terms: -2090 + 2090 = 0
0 + 186.5x = -2025 + 2090
186.5x = -2025 + 2090

Combine like terms: -2025 + 2090 = 65
186.5x = 65

Divide each side by '186.5'.
x = 0.3485254692

Simplifying
x = 0.3485254692

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