2=3(x-3)+5-2x

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Solution for 2=3(x-3)+5-2x equation: 


Simplifying
2 = 3(x + -3) + 5 + -2x

Reorder the terms:
2 = 3(-3 + x) + 5 + -2x
2 = (-3 * 3 + x * 3) + 5 + -2x
2 = (-9 + 3x) + 5 + -2x

Reorder the terms:
2 = -9 + 5 + 3x + -2x

Combine like terms: -9 + 5 = -4
2 = -4 + 3x + -2x

Combine like terms: 3x + -2x = 1x
2 = -4 + 1x

Solving
2 = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -1x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + -1x = -4 + 0
2 + -1x = -4

Add '-2' to each side of the equation.
2 + -2 + -1x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -4 + -2
-1x = -4 + -2

Combine like terms: -4 + -2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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