3(x+5)+6=2(3x+12)

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Solution for 3(x+5)+6=2(3x+12) equation:


Simplifying
3(x + 5) + 6 = 2(3x + 12)

Reorder the terms:
3(5 + x) + 6 = 2(3x + 12)
(5 * 3 + x * 3) + 6 = 2(3x + 12)
(15 + 3x) + 6 = 2(3x + 12)

Reorder the terms:
15 + 6 + 3x = 2(3x + 12)

Combine like terms: 15 + 6 = 21
21 + 3x = 2(3x + 12)

Reorder the terms:
21 + 3x = 2(12 + 3x)
21 + 3x = (12 * 2 + 3x * 2)
21 + 3x = (24 + 6x)

Solving
21 + 3x = 24 + 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.
21 + 3x + -6x = 24 + 6x + -6x

Combine like terms: 3x + -6x = -3x
21 + -3x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + -3x = 24 + 0
21 + -3x = 24

Add '-21' to each side of the equation.
21 + -21 + -3x = 24 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 24 + -21
-3x = 24 + -21

Combine like terms: 24 + -21 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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