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

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


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

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

Reorder the terms:
22 + 11x = 6(-3 + x)
22 + 11x = (-3 * 6 + x * 6)
22 + 11x = (-18 + 6x)

Solving
22 + 11x = -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 + 11x + -6x = -18 + 6x + -6x

Combine like terms: 11x + -6x = 5x
22 + 5x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + 5x = -18 + 0
22 + 5x = -18

Add '-22' to each side of the equation.
22 + -22 + 5x = -18 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = -18 + -22
5x = -18 + -22

Combine like terms: -18 + -22 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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