0.6(3x+9)=-2(2x+6)

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Solution for 0.6(3x+9)=-2(2x+6) equation: 


Simplifying
0.6(3x + 9) = -2(2x + 6)

Reorder the terms:
0.6(9 + 3x) = -2(2x + 6)
(9 * 0.6 + 3x * 0.6) = -2(2x + 6)
(5.4 + 1.8x) = -2(2x + 6)

Reorder the terms:
5.4 + 1.8x = -2(6 + 2x)
5.4 + 1.8x = (6 * -2 + 2x * -2)
5.4 + 1.8x = (-12 + -4x)

Solving
5.4 + 1.8x = -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.
5.4 + 1.8x + 4x = -12 + -4x + 4x

Combine like terms: 1.8x + 4x = 5.8x
5.4 + 5.8x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
5.4 + 5.8x = -12 + 0
5.4 + 5.8x = -12

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 5.8x = -12 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 5.8x = -12 + -5.4
5.8x = -12 + -5.4

Combine like terms: -12 + -5.4 = -17.4
5.8x = -17.4

Divide each side by '5.8'.
x = -3

Simplifying
x = -3

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