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

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


Simplifying
2 = 3(x + -3) + -1(x + -5)

Reorder the terms:
2 = 3(-3 + x) + -1(x + -5)
2 = (-3 * 3 + x * 3) + -1(x + -5)
2 = (-9 + 3x) + -1(x + -5)

Reorder the terms:
2 = -9 + 3x + -1(-5 + x)
2 = -9 + 3x + (-5 * -1 + x * -1)
2 = -9 + 3x + (5 + -1x)

Reorder the terms:
2 = -9 + 5 + 3x + -1x

Combine like terms: -9 + 5 = -4
2 = -4 + 3x + -1x

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

Solving
2 = -4 + 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.
2 + -2x = -4 + 2x + -2x

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

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

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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