(13x+18)+(22x+11)=(6x+23)+(11x+42)

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Solution for (13x+18)+(22x+11)=(6x+23)+(11x+42) equation:


Simplifying
(13x + 18) + (22x + 11) = (6x + 23) + (11x + 42)

Reorder the terms:
(18 + 13x) + (22x + 11) = (6x + 23) + (11x + 42)

Remove parenthesis around (18 + 13x)
18 + 13x + (22x + 11) = (6x + 23) + (11x + 42)

Reorder the terms:
18 + 13x + (11 + 22x) = (6x + 23) + (11x + 42)

Remove parenthesis around (11 + 22x)
18 + 13x + 11 + 22x = (6x + 23) + (11x + 42)

Reorder the terms:
18 + 11 + 13x + 22x = (6x + 23) + (11x + 42)

Combine like terms: 18 + 11 = 29
29 + 13x + 22x = (6x + 23) + (11x + 42)

Combine like terms: 13x + 22x = 35x
29 + 35x = (6x + 23) + (11x + 42)

Reorder the terms:
29 + 35x = (23 + 6x) + (11x + 42)

Remove parenthesis around (23 + 6x)
29 + 35x = 23 + 6x + (11x + 42)

Reorder the terms:
29 + 35x = 23 + 6x + (42 + 11x)

Remove parenthesis around (42 + 11x)
29 + 35x = 23 + 6x + 42 + 11x

Reorder the terms:
29 + 35x = 23 + 42 + 6x + 11x

Combine like terms: 23 + 42 = 65
29 + 35x = 65 + 6x + 11x

Combine like terms: 6x + 11x = 17x
29 + 35x = 65 + 17x

Solving
29 + 35x = 65 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
29 + 35x + -17x = 65 + 17x + -17x

Combine like terms: 35x + -17x = 18x
29 + 18x = 65 + 17x + -17x

Combine like terms: 17x + -17x = 0
29 + 18x = 65 + 0
29 + 18x = 65

Add '-29' to each side of the equation.
29 + -29 + 18x = 65 + -29

Combine like terms: 29 + -29 = 0
0 + 18x = 65 + -29
18x = 65 + -29

Combine like terms: 65 + -29 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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