2x-9=3(2x-11)

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Solution for 2x-9=3(2x-11) equation:


Simplifying
2x + -9 = 3(2x + -11)

Reorder the terms:
-9 + 2x = 3(2x + -11)

Reorder the terms:
-9 + 2x = 3(-11 + 2x)
-9 + 2x = (-11 * 3 + 2x * 3)
-9 + 2x = (-33 + 6x)

Solving
-9 + 2x = -33 + 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.
-9 + 2x + -6x = -33 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-9 + -4x = -33 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -4x = -33 + 0
-9 + -4x = -33

Add '9' to each side of the equation.
-9 + 9 + -4x = -33 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -33 + 9
-4x = -33 + 9

Combine like terms: -33 + 9 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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