6x-5=3x-3

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


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

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

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

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

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 6x + -3x = -3 + 3x + -3x

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

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

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

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

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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