2x+4x+6=3(3x-3)

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Solution for 2x+4x+6=3(3x-3) equation:


Simplifying
2x + 4x + 6 = 3(3x + -3)

Reorder the terms:
6 + 2x + 4x = 3(3x + -3)

Combine like terms: 2x + 4x = 6x
6 + 6x = 3(3x + -3)

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

Solving
6 + 6x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 6x + -9x = -9 + 9x + -9x

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

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

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

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

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

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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