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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-5 + 4x + -13x = -2 + 13x + -13x

Combine like terms: 4x + -13x = -9x
-5 + -9x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
-5 + -9x = -2 + 0
-5 + -9x = -2

Add '5' to each side of the equation.
-5 + 5 + -9x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -9x = -2 + 5
-9x = -2 + 5

Combine like terms: -2 + 5 = 3
-9x = 3

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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