(7x+11)+(16x-38)=77

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Solution for (7x+11)+(16x-38)=77 equation:


Simplifying
(7x + 11) + (16x + -38) = 77

Reorder the terms:
(11 + 7x) + (16x + -38) = 77

Remove parenthesis around (11 + 7x)
11 + 7x + (16x + -38) = 77

Reorder the terms:
11 + 7x + (-38 + 16x) = 77

Remove parenthesis around (-38 + 16x)
11 + 7x + -38 + 16x = 77

Reorder the terms:
11 + -38 + 7x + 16x = 77

Combine like terms: 11 + -38 = -27
-27 + 7x + 16x = 77

Combine like terms: 7x + 16x = 23x
-27 + 23x = 77

Solving
-27 + 23x = 77

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 23x = 77 + 27

Combine like terms: -27 + 27 = 0
0 + 23x = 77 + 27
23x = 77 + 27

Combine like terms: 77 + 27 = 104
23x = 104

Divide each side by '23'.
x = 4.52173913

Simplifying
x = 4.52173913

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