((5x-8)10)+x=((5x+8)5)+1

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Solution for ((5x-8)10)+x=((5x+8)5)+1 equation: 


Simplifying
((5x + -8) * 10) + x = ((5x + 8) * 5) + 1

Reorder the terms:
((-8 + 5x) * 10) + x = ((5x + 8) * 5) + 1

Reorder the terms for easier multiplication:
(10(-8 + 5x)) + x = ((5x + 8) * 5) + 1
((-8 * 10 + 5x * 10)) + x = ((5x + 8) * 5) + 1
((-80 + 50x)) + x = ((5x + 8) * 5) + 1
(-80 + 50x) + x = ((5x + 8) * 5) + 1

Remove parenthesis around (-80 + 50x)
-80 + 50x + x = ((5x + 8) * 5) + 1

Combine like terms: 50x + x = 51x
-80 + 51x = ((5x + 8) * 5) + 1

Reorder the terms:
-80 + 51x = ((8 + 5x) * 5) + 1

Reorder the terms for easier multiplication:
-80 + 51x = (5(8 + 5x)) + 1
-80 + 51x = ((8 * 5 + 5x * 5)) + 1
-80 + 51x = ((40 + 25x)) + 1
-80 + 51x = (40 + 25x) + 1

Remove parenthesis around (40 + 25x)
-80 + 51x = 40 + 25x + 1

Reorder the terms:
-80 + 51x = 40 + 1 + 25x

Combine like terms: 40 + 1 = 41
-80 + 51x = 41 + 25x

Solving
-80 + 51x = 41 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-80 + 51x + -25x = 41 + 25x + -25x

Combine like terms: 51x + -25x = 26x
-80 + 26x = 41 + 25x + -25x

Combine like terms: 25x + -25x = 0
-80 + 26x = 41 + 0
-80 + 26x = 41

Add '80' to each side of the equation.
-80 + 80 + 26x = 41 + 80

Combine like terms: -80 + 80 = 0
0 + 26x = 41 + 80
26x = 41 + 80

Combine like terms: 41 + 80 = 121
26x = 121

Divide each side by '26'.
x = 4.653846154

Simplifying
x = 4.653846154

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