4x-8+x+54=5+5x+45-2x

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Solution for 4x-8+x+54=5+5x+45-2x equation: 


Simplifying
4x + -8 + x + 54 = 5 + 5x + 45 + -2x

Reorder the terms:
-8 + 54 + 4x + x = 5 + 5x + 45 + -2x

Combine like terms: -8 + 54 = 46
46 + 4x + x = 5 + 5x + 45 + -2x

Combine like terms: 4x + x = 5x
46 + 5x = 5 + 5x + 45 + -2x

Reorder the terms:
46 + 5x = 5 + 45 + 5x + -2x

Combine like terms: 5 + 45 = 50
46 + 5x = 50 + 5x + -2x

Combine like terms: 5x + -2x = 3x
46 + 5x = 50 + 3x

Solving
46 + 5x = 50 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
46 + 5x + -3x = 50 + 3x + -3x

Combine like terms: 5x + -3x = 2x
46 + 2x = 50 + 3x + -3x

Combine like terms: 3x + -3x = 0
46 + 2x = 50 + 0
46 + 2x = 50

Add '-46' to each side of the equation.
46 + -46 + 2x = 50 + -46

Combine like terms: 46 + -46 = 0
0 + 2x = 50 + -46
2x = 50 + -46

Combine like terms: 50 + -46 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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