(2x+7)+(3x-11)+(x+37)=130

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Solution for (2x+7)+(3x-11)+(x+37)=130 equation:


Simplifying
(2x + 7) + (3x + -11) + (x + 37) = 130

Reorder the terms:
(7 + 2x) + (3x + -11) + (x + 37) = 130

Remove parenthesis around (7 + 2x)
7 + 2x + (3x + -11) + (x + 37) = 130

Reorder the terms:
7 + 2x + (-11 + 3x) + (x + 37) = 130

Remove parenthesis around (-11 + 3x)
7 + 2x + -11 + 3x + (x + 37) = 130

Reorder the terms:
7 + 2x + -11 + 3x + (37 + x) = 130

Remove parenthesis around (37 + x)
7 + 2x + -11 + 3x + 37 + x = 130

Reorder the terms:
7 + -11 + 37 + 2x + 3x + x = 130

Combine like terms: 7 + -11 = -4
-4 + 37 + 2x + 3x + x = 130

Combine like terms: -4 + 37 = 33
33 + 2x + 3x + x = 130

Combine like terms: 2x + 3x = 5x
33 + 5x + x = 130

Combine like terms: 5x + x = 6x
33 + 6x = 130

Solving
33 + 6x = 130

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 6x = 130 + -33

Combine like terms: 33 + -33 = 0
0 + 6x = 130 + -33
6x = 130 + -33

Combine like terms: 130 + -33 = 97
6x = 97

Divide each side by '6'.
x = 16.16666667

Simplifying
x = 16.16666667

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