3(3x-1)-2(3x+4)=11

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Solution for 3(3x-1)-2(3x+4)=11 equation: 


Simplifying
3(3x + -1) + -2(3x + 4) = 11

Reorder the terms:
3(-1 + 3x) + -2(3x + 4) = 11
(-1 * 3 + 3x * 3) + -2(3x + 4) = 11
(-3 + 9x) + -2(3x + 4) = 11

Reorder the terms:
-3 + 9x + -2(4 + 3x) = 11
-3 + 9x + (4 * -2 + 3x * -2) = 11
-3 + 9x + (-8 + -6x) = 11

Reorder the terms:
-3 + -8 + 9x + -6x = 11

Combine like terms: -3 + -8 = -11
-11 + 9x + -6x = 11

Combine like terms: 9x + -6x = 3x
-11 + 3x = 11

Solving
-11 + 3x = 11

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 11 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 11 + 11
3x = 11 + 11

Combine like terms: 11 + 11 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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