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

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


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

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

Reorder the terms:
6 + 4x = -6(9 + x)
6 + 4x = (9 * -6 + x * -6)
6 + 4x = (-54 + -6x)

Solving
6 + 4x = -54 + -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 + 4x + 6x = -54 + -6x + 6x

Combine like terms: 4x + 6x = 10x
6 + 10x = -54 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 10x = -54 + 0
6 + 10x = -54

Add '-6' to each side of the equation.
6 + -6 + 10x = -54 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -54 + -6
10x = -54 + -6

Combine like terms: -54 + -6 = -60
10x = -60

Divide each side by '10'.
x = -6

Simplifying
x = -6

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