3(x+9)=2(3x+21)

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Solution for 3(x+9)=2(3x+21) equation:


Simplifying
3(x + 9) = 2(3x + 21)

Reorder the terms:
3(9 + x) = 2(3x + 21)
(9 * 3 + x * 3) = 2(3x + 21)
(27 + 3x) = 2(3x + 21)

Reorder the terms:
27 + 3x = 2(21 + 3x)
27 + 3x = (21 * 2 + 3x * 2)
27 + 3x = (42 + 6x)

Solving
27 + 3x = 42 + 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.
27 + 3x + -6x = 42 + 6x + -6x

Combine like terms: 3x + -6x = -3x
27 + -3x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
27 + -3x = 42 + 0
27 + -3x = 42

Add '-27' to each side of the equation.
27 + -27 + -3x = 42 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 42 + -27
-3x = 42 + -27

Combine like terms: 42 + -27 = 15
-3x = 15

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

Simplifying
x = -5

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