2X+6=3X-13

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Solution for 2X+6=3X-13 equation:


Simplifying
2X + 6 = 3X + -13

Reorder the terms:
6 + 2X = 3X + -13

Reorder the terms:
6 + 2X = -13 + 3X

Solving
6 + 2X = -13 + 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.
6 + 2X + -3X = -13 + 3X + -3X

Combine like terms: 2X + -3X = -1X
6 + -1X = -13 + 3X + -3X

Combine like terms: 3X + -3X = 0
6 + -1X = -13 + 0
6 + -1X = -13

Add '-6' to each side of the equation.
6 + -6 + -1X = -13 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = -13 + -6
-1X = -13 + -6

Combine like terms: -13 + -6 = -19
-1X = -19

Divide each side by '-1'.
X = 19

Simplifying
X = 19

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