6x-1=2x-75

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Solution for 6x-1=2x-75 equation:


Simplifying
6x + -1 = 2x + -75

Reorder the terms:
-1 + 6x = 2x + -75

Reorder the terms:
-1 + 6x = -75 + 2x

Solving
-1 + 6x = -75 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 6x + -2x = -75 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-1 + 4x = -75 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 4x = -75 + 0
-1 + 4x = -75

Add '1' to each side of the equation.
-1 + 1 + 4x = -75 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -75 + 1
4x = -75 + 1

Combine like terms: -75 + 1 = -74
4x = -74

Divide each side by '4'.
x = -18.5

Simplifying
x = -18.5

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