3(2x+4)+5(x+1)=37

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Solution for 3(2x+4)+5(x+1)=37 equation:


Simplifying
3(2x + 4) + 5(x + 1) = 37

Reorder the terms:
3(4 + 2x) + 5(x + 1) = 37
(4 * 3 + 2x * 3) + 5(x + 1) = 37
(12 + 6x) + 5(x + 1) = 37

Reorder the terms:
12 + 6x + 5(1 + x) = 37
12 + 6x + (1 * 5 + x * 5) = 37
12 + 6x + (5 + 5x) = 37

Reorder the terms:
12 + 5 + 6x + 5x = 37

Combine like terms: 12 + 5 = 17
17 + 6x + 5x = 37

Combine like terms: 6x + 5x = 11x
17 + 11x = 37

Solving
17 + 11x = 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 + 11x = 37 + -17

Combine like terms: 17 + -17 = 0
0 + 11x = 37 + -17
11x = 37 + -17

Combine like terms: 37 + -17 = 20
11x = 20

Divide each side by '11'.
x = 1.818181818

Simplifying
x = 1.818181818

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