-(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
-1(50)(x + -10)(4.18) = (50)(x + -90)(0.45)

Reorder the terms:
-1 * 50(-10 + x)(4.18) = (50)(x + -90)(0.45)

Reorder the terms for easier multiplication:
-1 * 50 * 4.18(-10 + x) = (50)(x + -90)(0.45)

Multiply -1 * 50
-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 = -231.5x
2090 + -231.5x = -2025 + 22.5x + -22.5x

Combine like terms: 22.5x + -22.5x = 0.0
2090 + -231.5x = -2025 + 0.0
2090 + -231.5x = -2025

Add '-2090' to each side of the equation.
2090 + -2090 + -231.5x = -2025 + -2090

Combine like terms: 2090 + -2090 = 0
0 + -231.5x = -2025 + -2090
-231.5x = -2025 + -2090

Combine like terms: -2025 + -2090 = -4115
-231.5x = -4115

Divide each side by '-231.5'.
x = 17.77537797

Simplifying
x = 17.77537797

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