6x-45=4x-5

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Solution for 6x-45=4x-5 equation:


Simplifying
6x + -45 = 4x + -5

Reorder the terms:
-45 + 6x = 4x + -5

Reorder the terms:
-45 + 6x = -5 + 4x

Solving
-45 + 6x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-45 + 6x + -4x = -5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-45 + 2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-45 + 2x = -5 + 0
-45 + 2x = -5

Add '45' to each side of the equation.
-45 + 45 + 2x = -5 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = -5 + 45
2x = -5 + 45

Combine like terms: -5 + 45 = 40
2x = 40

Divide each side by '2'.
x = 20

Simplifying
x = 20

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