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

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


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

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

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

Combine like terms: -9 + 6 = -3
-3 + 2x + 4x = -6(x + 3)

Combine like terms: 2x + 4x = 6x
-3 + 6x = -6(x + 3)

Reorder the terms:
-3 + 6x = -6(3 + x)
-3 + 6x = (3 * -6 + x * -6)
-3 + 6x = (-18 + -6x)

Solving
-3 + 6x = -18 + -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.
-3 + 6x + 6x = -18 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-3 + 12x = -18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 12x = -18 + 0
-3 + 12x = -18

Add '3' to each side of the equation.
-3 + 3 + 12x = -18 + 3

Combine like terms: -3 + 3 = 0
0 + 12x = -18 + 3
12x = -18 + 3

Combine like terms: -18 + 3 = -15
12x = -15

Divide each side by '12'.
x = -1.25

Simplifying
x = -1.25

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