(4x-13)=(3x-5)

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Solution for (4x-13)=(3x-5) equation:


Simplifying
(4x + -13) = (3x + -5)

Reorder the terms:
(-13 + 4x) = (3x + -5)

Remove parenthesis around (-13 + 4x)
-13 + 4x = (3x + -5)

Reorder the terms:
-13 + 4x = (-5 + 3x)

Remove parenthesis around (-5 + 3x)
-13 + 4x = -5 + 3x

Solving
-13 + 4x = -5 + 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.
-13 + 4x + -3x = -5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-13 + 1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 1x = -5 + 0
-13 + 1x = -5

Add '13' to each side of the equation.
-13 + 13 + 1x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -5 + 13
1x = -5 + 13

Combine like terms: -5 + 13 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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