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

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


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

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

Reorder the terms:
12 + 6x + 5(2 + x) = 1
12 + 6x + (2 * 5 + x * 5) = 1
12 + 6x + (10 + 5x) = 1

Reorder the terms:
12 + 10 + 6x + 5x = 1

Combine like terms: 12 + 10 = 22
22 + 6x + 5x = 1

Combine like terms: 6x + 5x = 11x
22 + 11x = 1

Solving
22 + 11x = 1

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 11x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + 11x = 1 + -22
11x = 1 + -22

Combine like terms: 1 + -22 = -21
11x = -21

Divide each side by '11'.
x = -1.909090909

Simplifying
x = -1.909090909

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