2(x+11)=3(x+5)+1

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Solution for 2(x+11)=3(x+5)+1 equation: 


Simplifying
2(x + 11) = 3(x + 5) + 1

Reorder the terms:
2(11 + x) = 3(x + 5) + 1
(11 * 2 + x * 2) = 3(x + 5) + 1
(22 + 2x) = 3(x + 5) + 1

Reorder the terms:
22 + 2x = 3(5 + x) + 1
22 + 2x = (5 * 3 + x * 3) + 1
22 + 2x = (15 + 3x) + 1

Reorder the terms:
22 + 2x = 15 + 1 + 3x

Combine like terms: 15 + 1 = 16
22 + 2x = 16 + 3x

Solving
22 + 2x = 16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + 2x + -3x = 16 + 3x + -3x

Combine like terms: 2x + -3x = -1x
22 + -1x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -1x = 16 + 0
22 + -1x = 16

Add '-22' to each side of the equation.
22 + -22 + -1x = 16 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 16 + -22
-1x = 16 + -22

Combine like terms: 16 + -22 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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