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

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


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

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

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

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

Combine like terms: 2x + 3x = 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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