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

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


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

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

Combine like terms: 2 + 9 = 11
11 + -3x = 3 + -2(x + 4)

Reorder the terms:
11 + -3x = 3 + -2(4 + x)
11 + -3x = 3 + (4 * -2 + x * -2)
11 + -3x = 3 + (-8 + -2x)

Combine like terms: 3 + -8 = -5
11 + -3x = -5 + -2x

Solving
11 + -3x = -5 + -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.
11 + -3x + 2x = -5 + -2x + 2x

Combine like terms: -3x + 2x = -1x
11 + -1x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + -1x = -5 + 0
11 + -1x = -5

Add '-11' to each side of the equation.
11 + -11 + -1x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -5 + -11
-1x = -5 + -11

Combine like terms: -5 + -11 = -16
-1x = -16

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

Simplifying
x = 16

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