2-3(x+4)=9+-1(3+2x)

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Solution for 2-3(x+4)=9+-1(3+2x) equation: 


Simplifying
2 + -3(x + 4) = 9 + -1(3 + 2x)

Reorder the terms:
2 + -3(4 + x) = 9 + -1(3 + 2x)
2 + (4 * -3 + x * -3) = 9 + -1(3 + 2x)
2 + (-12 + -3x) = 9 + -1(3 + 2x)

Combine like terms: 2 + -12 = -10
-10 + -3x = 9 + -1(3 + 2x)
-10 + -3x = 9 + (3 * -1 + 2x * -1)
-10 + -3x = 9 + (-3 + -2x)

Combine like terms: 9 + -3 = 6
-10 + -3x = 6 + -2x

Solving
-10 + -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.
-10 + -3x + 2x = 6 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-10 + -1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + -1x = 6 + 0
-10 + -1x = 6

Add '10' to each side of the equation.
-10 + 10 + -1x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 6 + 10
-1x = 6 + 10

Combine like terms: 6 + 10 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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