(3x)+(2(x+4))+(2x+5)=37

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Solution for (3x)+(2(x+4))+(2x+5)=37 equation: 


Simplifying
(3x) + (2(x + 4)) + (2x + 5) = 37

Reorder the terms:
(3x) + (2(4 + x)) + (2x + 5) = 37
(3x) + ((4 * 2 + x * 2)) + (2x + 5) = 37
(3x) + ((8 + 2x)) + (2x + 5) = 37
(3x) + (8 + 2x) + (2x + 5) = 37

Remove parenthesis around (8 + 2x)
(3x) + 8 + 2x + (2x + 5) = 37

Reorder the terms:
(3x) + 8 + 2x + (5 + 2x) = 37

Remove parenthesis around (5 + 2x)
(3x) + 8 + 2x + 5 + 2x = 37

Reorder the terms:
8 + 5 + (3x) + 2x + 2x = 37

Combine like terms: 8 + 5 = 13
13 + (3x) + 2x + 2x = 37

Combine like terms: (3x) + 2x = 5x
13 + 5x + 2x = 37

Combine like terms: 5x + 2x = 7x
13 + 7x = 37

Solving
13 + 7x = 37

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 7x = 37 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 37 + -13
7x = 37 + -13

Combine like terms: 37 + -13 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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