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

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


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

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

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

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

Combine like terms: 3x + 2x = 5x
9 + 5x + 2x = 37

Combine like terms: 5x + 2x = 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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