(2x-5)=(3x-27)

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Solution for (2x-5)=(3x-27) equation:


Simplifying
(2x + -5) = (3x + -27)

Reorder the terms:
(-5 + 2x) = (3x + -27)

Remove parenthesis around (-5 + 2x)
-5 + 2x = (3x + -27)

Reorder the terms:
-5 + 2x = (-27 + 3x)

Remove parenthesis around (-27 + 3x)
-5 + 2x = -27 + 3x

Solving
-5 + 2x = -27 + 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 + 2x + -3x = -27 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-5 + -1x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -1x = -27 + 0
-5 + -1x = -27

Add '5' to each side of the equation.
-5 + 5 + -1x = -27 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -27 + 5
-1x = -27 + 5

Combine like terms: -27 + 5 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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