(3x+1)=(6x-4)+54

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Solution for (3x+1)=(6x-4)+54 equation:


Simplifying
(3x + 1) = (6x + -4) + 54

Reorder the terms:
(1 + 3x) = (6x + -4) + 54

Remove parenthesis around (1 + 3x)
1 + 3x = (6x + -4) + 54

Reorder the terms:
1 + 3x = (-4 + 6x) + 54

Remove parenthesis around (-4 + 6x)
1 + 3x = -4 + 6x + 54

Reorder the terms:
1 + 3x = -4 + 54 + 6x

Combine like terms: -4 + 54 = 50
1 + 3x = 50 + 6x

Solving
1 + 3x = 50 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 3x + -6x = 50 + 6x + -6x

Combine like terms: 3x + -6x = -3x
1 + -3x = 50 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -3x = 50 + 0
1 + -3x = 50

Add '-1' to each side of the equation.
1 + -1 + -3x = 50 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 50 + -1
-3x = 50 + -1

Combine like terms: 50 + -1 = 49
-3x = 49

Divide each side by '-3'.
x = -16.33333333

Simplifying
x = -16.33333333

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