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

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


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

Reorder the terms:
3(5 + 2x) + 2(2x + 1) = 37
(5 * 3 + 2x * 3) + 2(2x + 1) = 37
(15 + 6x) + 2(2x + 1) = 37

Reorder the terms:
15 + 6x + 2(1 + 2x) = 37
15 + 6x + (1 * 2 + 2x * 2) = 37
15 + 6x + (2 + 4x) = 37

Reorder the terms:
15 + 2 + 6x + 4x = 37

Combine like terms: 15 + 2 = 17
17 + 6x + 4x = 37

Combine like terms: 6x + 4x = 10x
17 + 10x = 37

Solving
17 + 10x = 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 + 10x = 37 + -17

Combine like terms: 17 + -17 = 0
0 + 10x = 37 + -17
10x = 37 + -17

Combine like terms: 37 + -17 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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