0.5(6x+12)=1.6-(x+2)

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Solution for 0.5(6x+12)=1.6-(x+2) equation:


Simplifying
0.5(6x + 12) = 1.6 + -1(x + 2)

Reorder the terms:
0.5(12 + 6x) = 1.6 + -1(x + 2)
(12 * 0.5 + 6x * 0.5) = 1.6 + -1(x + 2)
(6 + 3x) = 1.6 + -1(x + 2)

Reorder the terms:
6 + 3x = 1.6 + -1(2 + x)
6 + 3x = 1.6 + (2 * -1 + x * -1)
6 + 3x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
6 + 3x = -0.4 + -1x

Solving
6 + 3x = -0.4 + -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.
6 + 3x + x = -0.4 + -1x + x

Combine like terms: 3x + x = 4x
6 + 4x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
6 + 4x = -0.4 + 0
6 + 4x = -0.4

Add '-6' to each side of the equation.
6 + -6 + 4x = -0.4 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -0.4 + -6
4x = -0.4 + -6

Combine like terms: -0.4 + -6 = -6.4
4x = -6.4

Divide each side by '4'.
x = -1.6

Simplifying
x = -1.6

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