.5(3x+6)=1.2-(x+2)

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Solution for .5(3x+6)=1.2-(x+2) equation: 


Simplifying
0.5(3x + 6) = 1.2 + -1(x + 2)

Reorder the terms:
0.5(6 + 3x) = 1.2 + -1(x + 2)
(6 * 0.5 + 3x * 0.5) = 1.2 + -1(x + 2)
(3 + 1.5x) = 1.2 + -1(x + 2)

Reorder the terms:
3 + 1.5x = 1.2 + -1(2 + x)
3 + 1.5x = 1.2 + (2 * -1 + x * -1)
3 + 1.5x = 1.2 + (-2 + -1x)

Combine like terms: 1.2 + -2 = -0.8
3 + 1.5x = -0.8 + -1x

Solving
3 + 1.5x = -0.8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 1.5x + x = -0.8 + -1x + x

Combine like terms: 1.5x + x = 2.5x
3 + 2.5x = -0.8 + -1x + x

Combine like terms: -1x + x = 0
3 + 2.5x = -0.8 + 0
3 + 2.5x = -0.8

Add '-3' to each side of the equation.
3 + -3 + 2.5x = -0.8 + -3

Combine like terms: 3 + -3 = 0
0 + 2.5x = -0.8 + -3
2.5x = -0.8 + -3

Combine like terms: -0.8 + -3 = -3.8
2.5x = -3.8

Divide each side by '2.5'.
x = -1.52

Simplifying
x = -1.52

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