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

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


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

Reorder the terms:
-5 + 2X = 2 + 3(X + -3)

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

Combine like terms: 2 + -9 = -7
-5 + 2X = -7 + 3X

Solving
-5 + 2X = -7 + 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.
-5 + 2X + -3X = -7 + 3X + -3X

Combine like terms: 2X + -3X = -1X
-5 + -1X = -7 + 3X + -3X

Combine like terms: 3X + -3X = 0
-5 + -1X = -7 + 0
-5 + -1X = -7

Add '5' to each side of the equation.
-5 + 5 + -1X = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -1X = -7 + 5
-1X = -7 + 5

Combine like terms: -7 + 5 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2

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