(2x-13)=(3x+33)

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Solution for (2x-13)=(3x+33) equation:


Simplifying
(2x + -13) = (3x + 33)

Reorder the terms:
(-13 + 2x) = (3x + 33)

Remove parenthesis around (-13 + 2x)
-13 + 2x = (3x + 33)

Reorder the terms:
-13 + 2x = (33 + 3x)

Remove parenthesis around (33 + 3x)
-13 + 2x = 33 + 3x

Solving
-13 + 2x = 33 + 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 + 2x + -3x = 33 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-13 + -1x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + -1x = 33 + 0
-13 + -1x = 33

Add '13' to each side of the equation.
-13 + 13 + -1x = 33 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 33 + 13
-1x = 33 + 13

Combine like terms: 33 + 13 = 46
-1x = 46

Divide each side by '-1'.
x = -46

Simplifying
x = -46

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