11+8(x+2)+6x=2x-3(x+6)

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Solution for 11+8(x+2)+6x=2x-3(x+6) equation:


Simplifying
11 + 8(x + 2) + 6x = 2x + -3(x + 6)

Reorder the terms:
11 + 8(2 + x) + 6x = 2x + -3(x + 6)
11 + (2 * 8 + x * 8) + 6x = 2x + -3(x + 6)
11 + (16 + 8x) + 6x = 2x + -3(x + 6)

Combine like terms: 11 + 16 = 27
27 + 8x + 6x = 2x + -3(x + 6)

Combine like terms: 8x + 6x = 14x
27 + 14x = 2x + -3(x + 6)

Reorder the terms:
27 + 14x = 2x + -3(6 + x)
27 + 14x = 2x + (6 * -3 + x * -3)
27 + 14x = 2x + (-18 + -3x)

Reorder the terms:
27 + 14x = -18 + 2x + -3x

Combine like terms: 2x + -3x = -1x
27 + 14x = -18 + -1x

Solving
27 + 14x = -18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
27 + 14x + x = -18 + -1x + x

Combine like terms: 14x + x = 15x
27 + 15x = -18 + -1x + x

Combine like terms: -1x + x = 0
27 + 15x = -18 + 0
27 + 15x = -18

Add '-27' to each side of the equation.
27 + -27 + 15x = -18 + -27

Combine like terms: 27 + -27 = 0
0 + 15x = -18 + -27
15x = -18 + -27

Combine like terms: -18 + -27 = -45
15x = -45

Divide each side by '15'.
x = -3

Simplifying
x = -3

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