3x+6=3(2x-5)

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Solution for 3x+6=3(2x-5) equation:


Simplifying
3x + 6 = 3(2x + -5)

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

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

Solving
6 + 3x = -15 + 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.
6 + 3x + -6x = -15 + 6x + -6x

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

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

Add '-6' to each side of the equation.
6 + -6 + -3x = -15 + -6

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

Combine like terms: -15 + -6 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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