2(3x-9)+3(x+12)=36

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Solution for 2(3x-9)+3(x+12)=36 equation: 


Simplifying
2(3x + -9) + 3(x + 12) = 36

Reorder the terms:
2(-9 + 3x) + 3(x + 12) = 36
(-9 * 2 + 3x * 2) + 3(x + 12) = 36
(-18 + 6x) + 3(x + 12) = 36

Reorder the terms:
-18 + 6x + 3(12 + x) = 36
-18 + 6x + (12 * 3 + x * 3) = 36
-18 + 6x + (36 + 3x) = 36

Reorder the terms:
-18 + 36 + 6x + 3x = 36

Combine like terms: -18 + 36 = 18
18 + 6x + 3x = 36

Combine like terms: 6x + 3x = 9x
18 + 9x = 36

Solving
18 + 9x = 36

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 9x = 36 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 36 + -18
9x = 36 + -18

Combine like terms: 36 + -18 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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