2x+78=6x-50

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Solution for 2x+78=6x-50 equation:


Simplifying
2x + 78 = 6x + -50

Reorder the terms:
78 + 2x = 6x + -50

Reorder the terms:
78 + 2x = -50 + 6x

Solving
78 + 2x = -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.
78 + 2x + -6x = -50 + 6x + -6x

Combine like terms: 2x + -6x = -4x
78 + -4x = -50 + 6x + -6x

Combine like terms: 6x + -6x = 0
78 + -4x = -50 + 0
78 + -4x = -50

Add '-78' to each side of the equation.
78 + -78 + -4x = -50 + -78

Combine like terms: 78 + -78 = 0
0 + -4x = -50 + -78
-4x = -50 + -78

Combine like terms: -50 + -78 = -128
-4x = -128

Divide each side by '-4'.
x = 32

Simplifying
x = 32

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