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

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Solution for 6(x-2)-9(x+3)=0 equation:


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

Reorder the terms:
6(-2 + x) + -9(x + 3) = 0
(-2 * 6 + x * 6) + -9(x + 3) = 0
(-12 + 6x) + -9(x + 3) = 0

Reorder the terms:
-12 + 6x + -9(3 + x) = 0
-12 + 6x + (3 * -9 + x * -9) = 0
-12 + 6x + (-27 + -9x) = 0

Reorder the terms:
-12 + -27 + 6x + -9x = 0

Combine like terms: -12 + -27 = -39
-39 + 6x + -9x = 0

Combine like terms: 6x + -9x = -3x
-39 + -3x = 0

Solving
-39 + -3x = 0

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + -3x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -3x = 0 + 39
-3x = 0 + 39

Combine like terms: 0 + 39 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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