19-7-13X=3(2X-3)+2

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Solution for 19-7-13X=3(2X-3)+2 equation: 


Simplifying
19 + -7 + -13X = 3(2X + -3) + 2

Combine like terms: 19 + -7 = 12
12 + -13X = 3(2X + -3) + 2

Reorder the terms:
12 + -13X = 3(-3 + 2X) + 2
12 + -13X = (-3 * 3 + 2X * 3) + 2
12 + -13X = (-9 + 6X) + 2

Reorder the terms:
12 + -13X = -9 + 2 + 6X

Combine like terms: -9 + 2 = -7
12 + -13X = -7 + 6X

Solving
12 + -13X = -7 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
12 + -13X + -6X = -7 + 6X + -6X

Combine like terms: -13X + -6X = -19X
12 + -19X = -7 + 6X + -6X

Combine like terms: 6X + -6X = 0
12 + -19X = -7 + 0
12 + -19X = -7

Add '-12' to each side of the equation.
12 + -12 + -19X = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -19X = -7 + -12
-19X = -7 + -12

Combine like terms: -7 + -12 = -19
-19X = -19

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

Simplifying
X = 1

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