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

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


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

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

Reorder the terms:
-9 + -6 + 2x + 3x = 0

Combine like terms: -9 + -6 = -15
-15 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-15 + 5x = 0

Solving
-15 + 5x = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 0 + 15
5x = 0 + 15

Combine like terms: 0 + 15 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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