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

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


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

Reorder the terms:
6(-3 + x) + (2x + -9) = 0
(-3 * 6 + x * 6) + (2x + -9) = 0
(-18 + 6x) + (2x + -9) = 0

Reorder the terms:
-18 + 6x + (-9 + 2x) = 0

Remove parenthesis around (-9 + 2x)
-18 + 6x + -9 + 2x = 0

Reorder the terms:
-18 + -9 + 6x + 2x = 0

Combine like terms: -18 + -9 = -27
-27 + 6x + 2x = 0

Combine like terms: 6x + 2x = 8x
-27 + 8x = 0

Solving
-27 + 8x = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 8x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 8x = 0 + 27
8x = 0 + 27

Combine like terms: 0 + 27 = 27
8x = 27

Divide each side by '8'.
x = 3.375

Simplifying
x = 3.375

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