11(x-3)-1=9x+2

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Solution for 11(x-3)-1=9x+2 equation:


Simplifying
11(x + -3) + -1 = 9x + 2

Reorder the terms:
11(-3 + x) + -1 = 9x + 2
(-3 * 11 + x * 11) + -1 = 9x + 2
(-33 + 11x) + -1 = 9x + 2

Reorder the terms:
-33 + -1 + 11x = 9x + 2

Combine like terms: -33 + -1 = -34
-34 + 11x = 9x + 2

Reorder the terms:
-34 + 11x = 2 + 9x

Solving
-34 + 11x = 2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-34 + 11x + -9x = 2 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-34 + 2x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-34 + 2x = 2 + 0
-34 + 2x = 2

Add '34' to each side of the equation.
-34 + 34 + 2x = 2 + 34

Combine like terms: -34 + 34 = 0
0 + 2x = 2 + 34
2x = 2 + 34

Combine like terms: 2 + 34 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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