(3x+9)=-2(2x+6)

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Solution for (3x+9)=-2(2x+6) equation:


Simplifying
(3x + 9) = -2(2x + 6)

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

Remove parenthesis around (9 + 3x)
9 + 3x = -2(2x + 6)

Reorder the terms:
9 + 3x = -2(6 + 2x)
9 + 3x = (6 * -2 + 2x * -2)
9 + 3x = (-12 + -4x)

Solving
9 + 3x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
9 + 3x + 4x = -12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
9 + 7x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 7x = -12 + 0
9 + 7x = -12

Add '-9' to each side of the equation.
9 + -9 + 7x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = -12 + -9
7x = -12 + -9

Combine like terms: -12 + -9 = -21
7x = -21

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

Simplifying
x = -3

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