6(x+8)+3a=-2(x-2)

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Solution for 6(x+8)+3a=-2(x-2) equation: 


Simplifying
6(x + 8) + 3a = -2(x + -2)

Reorder the terms:
6(8 + x) + 3a = -2(x + -2)
(8 * 6 + x * 6) + 3a = -2(x + -2)
(48 + 6x) + 3a = -2(x + -2)

Reorder the terms:
48 + 3a + 6x = -2(x + -2)

Reorder the terms:
48 + 3a + 6x = -2(-2 + x)
48 + 3a + 6x = (-2 * -2 + x * -2)
48 + 3a + 6x = (4 + -2x)

Solving
48 + 3a + 6x = 4 + -2x

Solving for variable 'a'.

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

Add '-48' to each side of the equation.
48 + 3a + -48 + 6x = 4 + -48 + -2x

Reorder the terms:
48 + -48 + 3a + 6x = 4 + -48 + -2x

Combine like terms: 48 + -48 = 0
0 + 3a + 6x = 4 + -48 + -2x
3a + 6x = 4 + -48 + -2x

Combine like terms: 4 + -48 = -44
3a + 6x = -44 + -2x

Add '-6x' to each side of the equation.
3a + 6x + -6x = -44 + -2x + -6x

Combine like terms: 6x + -6x = 0
3a + 0 = -44 + -2x + -6x
3a = -44 + -2x + -6x

Combine like terms: -2x + -6x = -8x
3a = -44 + -8x

Divide each side by '3'.
a = -14.66666667 + -2.666666667x

Simplifying
a = -14.66666667 + -2.666666667x

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