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

Reorder the terms:
-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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