2(x+11)=6(x+3)

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Solution for 2(x+11)=6(x+3) equation:


Simplifying
2(x + 11) = 6(x + 3)

Reorder the terms:
2(11 + x) = 6(x + 3)
(11 * 2 + x * 2) = 6(x + 3)
(22 + 2x) = 6(x + 3)

Reorder the terms:
22 + 2x = 6(3 + x)
22 + 2x = (3 * 6 + x * 6)
22 + 2x = (18 + 6x)

Solving
22 + 2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
22 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -4x = 18 + 0
22 + -4x = 18

Add '-22' to each side of the equation.
22 + -22 + -4x = 18 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = 18 + -22
-4x = 18 + -22

Combine like terms: 18 + -22 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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