2(8-x)=3(-9+2x)+6

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Solution for 2(8-x)=3(-9+2x)+6 equation: 


Simplifying
2(8 + -1x) = 3(-9 + 2x) + 6
(8 * 2 + -1x * 2) = 3(-9 + 2x) + 6
(16 + -2x) = 3(-9 + 2x) + 6
16 + -2x = (-9 * 3 + 2x * 3) + 6
16 + -2x = (-27 + 6x) + 6

Reorder the terms:
16 + -2x = -27 + 6 + 6x

Combine like terms: -27 + 6 = -21
16 + -2x = -21 + 6x

Solving
16 + -2x = -21 + 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 + -2x + -6x = -21 + 6x + -6x

Combine like terms: -2x + -6x = -8x
16 + -8x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -8x = -21 + 0
16 + -8x = -21

Add '-16' to each side of the equation.
16 + -16 + -8x = -21 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = -21 + -16
-8x = -21 + -16

Combine like terms: -21 + -16 = -37
-8x = -37

Divide each side by '-8'.
x = 4.625

Simplifying
x = 4.625

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