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

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


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

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

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

Solving
22 + 11x = -6 + 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 + 11x + -3x = -6 + 3x + -3x

Combine like terms: 11x + -3x = 8x
22 + 8x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 8x = -6 + 0
22 + 8x = -6

Add '-22' to each side of the equation.
22 + -22 + 8x = -6 + -22

Combine like terms: 22 + -22 = 0
0 + 8x = -6 + -22
8x = -6 + -22

Combine like terms: -6 + -22 = -28
8x = -28

Divide each side by '8'.
x = -3.5

Simplifying
x = -3.5

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