50+(3x-4)=2(3x-4)+6

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Solution for 50+(3x-4)=2(3x-4)+6 equation: 


Simplifying
50 + (3x + -4) = 2(3x + -4) + 6

Reorder the terms:
50 + (-4 + 3x) = 2(3x + -4) + 6

Remove parenthesis around (-4 + 3x)
50 + -4 + 3x = 2(3x + -4) + 6

Combine like terms: 50 + -4 = 46
46 + 3x = 2(3x + -4) + 6

Reorder the terms:
46 + 3x = 2(-4 + 3x) + 6
46 + 3x = (-4 * 2 + 3x * 2) + 6
46 + 3x = (-8 + 6x) + 6

Reorder the terms:
46 + 3x = -8 + 6 + 6x

Combine like terms: -8 + 6 = -2
46 + 3x = -2 + 6x

Solving
46 + 3x = -2 + 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.
46 + 3x + -6x = -2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
46 + -3x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
46 + -3x = -2 + 0
46 + -3x = -2

Add '-46' to each side of the equation.
46 + -46 + -3x = -2 + -46

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

Combine like terms: -2 + -46 = -48
-3x = -48

Divide each side by '-3'.
x = 16

Simplifying
x = 16

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