2x+105=6x-85

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Solution for 2x+105=6x-85 equation:


Simplifying
2x + 105 = 6x + -85

Reorder the terms:
105 + 2x = 6x + -85

Reorder the terms:
105 + 2x = -85 + 6x

Solving
105 + 2x = -85 + 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.
105 + 2x + -6x = -85 + 6x + -6x

Combine like terms: 2x + -6x = -4x
105 + -4x = -85 + 6x + -6x

Combine like terms: 6x + -6x = 0
105 + -4x = -85 + 0
105 + -4x = -85

Add '-105' to each side of the equation.
105 + -105 + -4x = -85 + -105

Combine like terms: 105 + -105 = 0
0 + -4x = -85 + -105
-4x = -85 + -105

Combine like terms: -85 + -105 = -190
-4x = -190

Divide each side by '-4'.
x = 47.5

Simplifying
x = 47.5

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