(50)(80-x)(4.184)=(50)(x-10)(4.184)

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Solution for (50)(80-x)(4.184)=(50)(x-10)(4.184) equation:


Simplifying
(50)(80 + -1x)(4.184) = (50)(x + -10)(4.184)

Reorder the terms for easier multiplication:
50 * 4.184(80 + -1x) = (50)(x + -10)(4.184)

Multiply 50 * 4.184
209.2(80 + -1x) = (50)(x + -10)(4.184)
(80 * 209.2 + -1x * 209.2) = (50)(x + -10)(4.184)
(16736 + -209.2x) = (50)(x + -10)(4.184)

Reorder the terms:
16736 + -209.2x = 50(-10 + x)(4.184)

Reorder the terms for easier multiplication:
16736 + -209.2x = 50 * 4.184(-10 + x)

Multiply 50 * 4.184
16736 + -209.2x = 209.2(-10 + x)
16736 + -209.2x = (-10 * 209.2 + x * 209.2)
16736 + -209.2x = (-2092 + 209.2x)

Solving
16736 + -209.2x = -2092 + 209.2x

Solving for variable 'x'.

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

Add '-209.2x' to each side of the equation.
16736 + -209.2x + -209.2x = -2092 + 209.2x + -209.2x

Combine like terms: -209.2x + -209.2x = -418.4x
16736 + -418.4x = -2092 + 209.2x + -209.2x

Combine like terms: 209.2x + -209.2x = 0.0
16736 + -418.4x = -2092 + 0.0
16736 + -418.4x = -2092

Add '-16736' to each side of the equation.
16736 + -16736 + -418.4x = -2092 + -16736

Combine like terms: 16736 + -16736 = 0
0 + -418.4x = -2092 + -16736
-418.4x = -2092 + -16736

Combine like terms: -2092 + -16736 = -18828
-418.4x = -18828

Divide each side by '-418.4'.
x = 45

Simplifying
x = 45

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