3(3x-1)+2(x+3)=36

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Solution for 3(3x-1)+2(x+3)=36 equation:


Simplifying
3(3x + -1) + 2(x + 3) = 36

Reorder the terms:
3(-1 + 3x) + 2(x + 3) = 36
(-1 * 3 + 3x * 3) + 2(x + 3) = 36
(-3 + 9x) + 2(x + 3) = 36

Reorder the terms:
-3 + 9x + 2(3 + x) = 36
-3 + 9x + (3 * 2 + x * 2) = 36
-3 + 9x + (6 + 2x) = 36

Reorder the terms:
-3 + 6 + 9x + 2x = 36

Combine like terms: -3 + 6 = 3
3 + 9x + 2x = 36

Combine like terms: 9x + 2x = 11x
3 + 11x = 36

Solving
3 + 11x = 36

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 11x = 36 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 36 + -3
11x = 36 + -3

Combine like terms: 36 + -3 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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