3x+9=3(2x-5)-3

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Solution for 3x+9=3(2x-5)-3 equation:


Simplifying
3x + 9 = 3(2x + -5) + -3

Reorder the terms:
9 + 3x = 3(2x + -5) + -3

Reorder the terms:
9 + 3x = 3(-5 + 2x) + -3
9 + 3x = (-5 * 3 + 2x * 3) + -3
9 + 3x = (-15 + 6x) + -3

Reorder the terms:
9 + 3x = -15 + -3 + 6x

Combine like terms: -15 + -3 = -18
9 + 3x = -18 + 6x

Solving
9 + 3x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 3x + -6x = -18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
9 + -3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -3x = -18 + 0
9 + -3x = -18

Add '-9' to each side of the equation.
9 + -9 + -3x = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -18 + -9
-3x = -18 + -9

Combine like terms: -18 + -9 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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