3(2x-9)+2(3x+4.5)=0

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Solution for 3(2x-9)+2(3x+4.5)=0 equation:


Simplifying
3(2x + -9) + 2(3x + 4.5) = 0

Reorder the terms:
3(-9 + 2x) + 2(3x + 4.5) = 0
(-9 * 3 + 2x * 3) + 2(3x + 4.5) = 0
(-27 + 6x) + 2(3x + 4.5) = 0

Reorder the terms:
-27 + 6x + 2(4.5 + 3x) = 0
-27 + 6x + (4.5 * 2 + 3x * 2) = 0
-27 + 6x + (9 + 6x) = 0

Reorder the terms:
-27 + 9 + 6x + 6x = 0

Combine like terms: -27 + 9 = -18
-18 + 6x + 6x = 0

Combine like terms: 6x + 6x = 12x
-18 + 12x = 0

Solving
-18 + 12x = 0

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 + 12x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 0 + 18
12x = 0 + 18

Combine like terms: 0 + 18 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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