2x-6=5x-8

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Solution for 2x-6=5x-8 equation:


Simplifying
2x + -6 = 5x + -8

Reorder the terms:
-6 + 2x = 5x + -8

Reorder the terms:
-6 + 2x = -8 + 5x

Solving
-6 + 2x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 2x + -5x = -8 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-6 + -3x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -3x = -8 + 0
-6 + -3x = -8

Add '6' to each side of the equation.
-6 + 6 + -3x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -8 + 6
-3x = -8 + 6

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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