(2x+1)+2(x+4)+3x=37

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Solution for (2x+1)+2(x+4)+3x=37 equation: 


Simplifying
(2x + 1) + 2(x + 4) + 3x = 37

Reorder the terms:
(1 + 2x) + 2(x + 4) + 3x = 37

Remove parenthesis around (1 + 2x)
1 + 2x + 2(x + 4) + 3x = 37

Reorder the terms:
1 + 2x + 2(4 + x) + 3x = 37
1 + 2x + (4 * 2 + x * 2) + 3x = 37
1 + 2x + (8 + 2x) + 3x = 37

Reorder the terms:
1 + 8 + 2x + 2x + 3x = 37

Combine like terms: 1 + 8 = 9
9 + 2x + 2x + 3x = 37

Combine like terms: 2x + 2x = 4x
9 + 4x + 3x = 37

Combine like terms: 4x + 3x = 7x
9 + 7x = 37

Solving
9 + 7x = 37

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 7x = 37 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 37 + -9
7x = 37 + -9

Combine like terms: 37 + -9 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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