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

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


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

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

Reorder the terms:
16 + 8x = 3(-6 + 2x)
16 + 8x = (-6 * 3 + 2x * 3)
16 + 8x = (-18 + 6x)

Solving
16 + 8x = -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.
16 + 8x + -6x = -18 + 6x + -6x

Combine like terms: 8x + -6x = 2x
16 + 2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = -18 + 0
16 + 2x = -18

Add '-16' to each side of the equation.
16 + -16 + 2x = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -18 + -16
2x = -18 + -16

Combine like terms: -18 + -16 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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