2X-2=3(X-5)

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


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

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

Reorder the terms:
-2 + 2X = 3(-5 + X)
-2 + 2X = (-5 * 3 + X * 3)
-2 + 2X = (-15 + 3X)

Solving
-2 + 2X = -15 + 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.
-2 + 2X + -3X = -15 + 3X + -3X

Combine like terms: 2X + -3X = -1X
-2 + -1X = -15 + 3X + -3X

Combine like terms: 3X + -3X = 0
-2 + -1X = -15 + 0
-2 + -1X = -15

Add '2' to each side of the equation.
-2 + 2 + -1X = -15 + 2

Combine like terms: -2 + 2 = 0
0 + -1X = -15 + 2
-1X = -15 + 2

Combine like terms: -15 + 2 = -13
-1X = -13

Divide each side by '-1'.
X = 13

Simplifying
X = 13

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