2x+75=6x-5

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Solution for 2x+75=6x-5 equation:


Simplifying
2x + 75 = 6x + -5

Reorder the terms:
75 + 2x = 6x + -5

Reorder the terms:
75 + 2x = -5 + 6x

Solving
75 + 2x = -5 + 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.
75 + 2x + -6x = -5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
75 + -4x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
75 + -4x = -5 + 0
75 + -4x = -5

Add '-75' to each side of the equation.
75 + -75 + -4x = -5 + -75

Combine like terms: 75 + -75 = 0
0 + -4x = -5 + -75
-4x = -5 + -75

Combine like terms: -5 + -75 = -80
-4x = -80

Divide each side by '-4'.
x = 20

Simplifying
x = 20

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