11(3X-1)=13(2X-1)

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Solution for 11(3X-1)=13(2X-1) equation:


Simplifying
11(3X + -1) = 13(2X + -1)

Reorder the terms:
11(-1 + 3X) = 13(2X + -1)
(-1 * 11 + 3X * 11) = 13(2X + -1)
(-11 + 33X) = 13(2X + -1)

Reorder the terms:
-11 + 33X = 13(-1 + 2X)
-11 + 33X = (-1 * 13 + 2X * 13)
-11 + 33X = (-13 + 26X)

Solving
-11 + 33X = -13 + 26X

Solving for variable 'X'.

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

Add '-26X' to each side of the equation.
-11 + 33X + -26X = -13 + 26X + -26X

Combine like terms: 33X + -26X = 7X
-11 + 7X = -13 + 26X + -26X

Combine like terms: 26X + -26X = 0
-11 + 7X = -13 + 0
-11 + 7X = -13

Add '11' to each side of the equation.
-11 + 11 + 7X = -13 + 11

Combine like terms: -11 + 11 = 0
0 + 7X = -13 + 11
7X = -13 + 11

Combine like terms: -13 + 11 = -2
7X = -2

Divide each side by '7'.
X = -0.2857142857

Simplifying
X = -0.2857142857

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