2(x+1)+3(x+5)=37

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Solution for 2(x+1)+3(x+5)=37 equation: 


Simplifying
2(x + 1) + 3(x + 5) = 37

Reorder the terms:
2(1 + x) + 3(x + 5) = 37
(1 * 2 + x * 2) + 3(x + 5) = 37
(2 + 2x) + 3(x + 5) = 37

Reorder the terms:
2 + 2x + 3(5 + x) = 37
2 + 2x + (5 * 3 + x * 3) = 37
2 + 2x + (15 + 3x) = 37

Reorder the terms:
2 + 15 + 2x + 3x = 37

Combine like terms: 2 + 15 = 17
17 + 2x + 3x = 37

Combine like terms: 2x + 3x = 5x
17 + 5x = 37

Solving
17 + 5x = 37

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 5x = 37 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 37 + -17
5x = 37 + -17

Combine like terms: 37 + -17 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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