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

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


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

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

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

Solving
9 + 6x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 6x + -3x = -15 + 3x + -3x

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

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

Add '-9' to each side of the equation.
9 + -9 + 3x = -15 + -9

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

Combine like terms: -15 + -9 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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