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

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


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

Reorder the terms:
9 + 2(-3 + x) = 8 + -3(x + -2)
9 + (-3 * 2 + x * 2) = 8 + -3(x + -2)
9 + (-6 + 2x) = 8 + -3(x + -2)

Combine like terms: 9 + -6 = 3
3 + 2x = 8 + -3(x + -2)

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

Combine like terms: 8 + 6 = 14
3 + 2x = 14 + -3x

Solving
3 + 2x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3 + 2x + 3x = 14 + -3x + 3x

Combine like terms: 2x + 3x = 5x
3 + 5x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 5x = 14 + 0
3 + 5x = 14

Add '-3' to each side of the equation.
3 + -3 + 5x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 14 + -3
5x = 14 + -3

Combine like terms: 14 + -3 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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