2(4(x+6)+1)+3x=17

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Solution for 2(4(x+6)+1)+3x=17 equation: 


Simplifying
2(4(x + 6) + 1) + 3x = 17

Reorder the terms:
2(4(6 + x) + 1) + 3x = 17
2((6 * 4 + x * 4) + 1) + 3x = 17
2((24 + 4x) + 1) + 3x = 17

Reorder the terms:
2(24 + 1 + 4x) + 3x = 17

Combine like terms: 24 + 1 = 25
2(25 + 4x) + 3x = 17
(25 * 2 + 4x * 2) + 3x = 17
(50 + 8x) + 3x = 17

Combine like terms: 8x + 3x = 11x
50 + 11x = 17

Solving
50 + 11x = 17

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 11x = 17 + -50

Combine like terms: 50 + -50 = 0
0 + 11x = 17 + -50
11x = 17 + -50

Combine like terms: 17 + -50 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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