2x-5=6x-3

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Solution for 2x-5=6x-3 equation:


Simplifying
2x + -5 = 6x + -3

Reorder the terms:
-5 + 2x = 6x + -3

Reorder the terms:
-5 + 2x = -3 + 6x

Solving
-5 + 2x = -3 + 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.
-5 + 2x + -6x = -3 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-5 + -4x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -4x = -3 + 0
-5 + -4x = -3

Add '5' to each side of the equation.
-5 + 5 + -4x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -3 + 5
-4x = -3 + 5

Combine like terms: -3 + 5 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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