2x-13=4x-5

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = -4

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