(2x-5)=(4x-13)

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Solution for (2x-5)=(4x-13) equation:


Simplifying
(2x + -5) = (4x + -13)

Reorder the terms:
(-5 + 2x) = (4x + -13)

Remove parenthesis around (-5 + 2x)
-5 + 2x = (4x + -13)

Reorder the terms:
-5 + 2x = (-13 + 4x)

Remove parenthesis around (-13 + 4x)
-5 + 2x = -13 + 4x

Solving
-5 + 2x = -13 + 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.
-5 + 2x + -4x = -13 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-5 + -2x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -2x = -13 + 0
-5 + -2x = -13

Add '5' to each side of the equation.
-5 + 5 + -2x = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -13 + 5
-2x = -13 + 5

Combine like terms: -13 + 5 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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