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

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


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

Reorder the terms:
3x + 2(-9 + x) + -3(x + 11) = 1
3x + (-9 * 2 + x * 2) + -3(x + 11) = 1
3x + (-18 + 2x) + -3(x + 11) = 1

Reorder the terms:
3x + -18 + 2x + -3(11 + x) = 1
3x + -18 + 2x + (11 * -3 + x * -3) = 1
3x + -18 + 2x + (-33 + -3x) = 1

Reorder the terms:
-18 + -33 + 3x + 2x + -3x = 1

Combine like terms: -18 + -33 = -51
-51 + 3x + 2x + -3x = 1

Combine like terms: 3x + 2x = 5x
-51 + 5x + -3x = 1

Combine like terms: 5x + -3x = 2x
-51 + 2x = 1

Solving
-51 + 2x = 1

Solving for variable 'x'.

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

Add '51' to each side of the equation.
-51 + 51 + 2x = 1 + 51

Combine like terms: -51 + 51 = 0
0 + 2x = 1 + 51
2x = 1 + 51

Combine like terms: 1 + 51 = 52
2x = 52

Divide each side by '2'.
x = 26

Simplifying
x = 26

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