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

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


Simplifying
2 + -3(x + 8) = 9 + -1(3 + 2x)

Reorder the terms:
2 + -3(8 + x) = 9 + -1(3 + 2x)
2 + (8 * -3 + x * -3) = 9 + -1(3 + 2x)
2 + (-24 + -3x) = 9 + -1(3 + 2x)

Combine like terms: 2 + -24 = -22
-22 + -3x = 9 + -1(3 + 2x)
-22 + -3x = 9 + (3 * -1 + 2x * -1)
-22 + -3x = 9 + (-3 + -2x)

Combine like terms: 9 + -3 = 6
-22 + -3x = 6 + -2x

Solving
-22 + -3x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-22 + -3x + 2x = 6 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-22 + -1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-22 + -1x = 6 + 0
-22 + -1x = 6

Add '22' to each side of the equation.
-22 + 22 + -1x = 6 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 6 + 22
-1x = 6 + 22

Combine like terms: 6 + 22 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

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