2x+13+2x-1=45-2x+33

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Solution for 2x+13+2x-1=45-2x+33 equation: 


Simplifying
2x + 13 + 2x + -1 = 45 + -2x + 33

Reorder the terms:
13 + -1 + 2x + 2x = 45 + -2x + 33

Combine like terms: 13 + -1 = 12
12 + 2x + 2x = 45 + -2x + 33

Combine like terms: 2x + 2x = 4x
12 + 4x = 45 + -2x + 33

Reorder the terms:
12 + 4x = 45 + 33 + -2x

Combine like terms: 45 + 33 = 78
12 + 4x = 78 + -2x

Solving
12 + 4x = 78 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + 4x + 2x = 78 + -2x + 2x

Combine like terms: 4x + 2x = 6x
12 + 6x = 78 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 6x = 78 + 0
12 + 6x = 78

Add '-12' to each side of the equation.
12 + -12 + 6x = 78 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 78 + -12
6x = 78 + -12

Combine like terms: 78 + -12 = 66
6x = 66

Divide each side by '6'.
x = 11

Simplifying
x = 11

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