3(4x-2)+6(x+6)=3(x+4)-(x+4)

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Solution for 3(4x-2)+6(x+6)=3(x+4)-(x+4) equation: 


Simplifying
3(4x + -2) + 6(x + 6) = 3(x + 4) + -1(x + 4)

Reorder the terms:
3(-2 + 4x) + 6(x + 6) = 3(x + 4) + -1(x + 4)
(-2 * 3 + 4x * 3) + 6(x + 6) = 3(x + 4) + -1(x + 4)
(-6 + 12x) + 6(x + 6) = 3(x + 4) + -1(x + 4)

Reorder the terms:
-6 + 12x + 6(6 + x) = 3(x + 4) + -1(x + 4)
-6 + 12x + (6 * 6 + x * 6) = 3(x + 4) + -1(x + 4)
-6 + 12x + (36 + 6x) = 3(x + 4) + -1(x + 4)

Reorder the terms:
-6 + 36 + 12x + 6x = 3(x + 4) + -1(x + 4)

Combine like terms: -6 + 36 = 30
30 + 12x + 6x = 3(x + 4) + -1(x + 4)

Combine like terms: 12x + 6x = 18x
30 + 18x = 3(x + 4) + -1(x + 4)

Reorder the terms:
30 + 18x = 3(4 + x) + -1(x + 4)
30 + 18x = (4 * 3 + x * 3) + -1(x + 4)
30 + 18x = (12 + 3x) + -1(x + 4)

Reorder the terms:
30 + 18x = 12 + 3x + -1(4 + x)
30 + 18x = 12 + 3x + (4 * -1 + x * -1)
30 + 18x = 12 + 3x + (-4 + -1x)

Reorder the terms:
30 + 18x = 12 + -4 + 3x + -1x

Combine like terms: 12 + -4 = 8
30 + 18x = 8 + 3x + -1x

Combine like terms: 3x + -1x = 2x
30 + 18x = 8 + 2x

Solving
30 + 18x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 18x + -2x = 8 + 2x + -2x

Combine like terms: 18x + -2x = 16x
30 + 16x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 16x = 8 + 0
30 + 16x = 8

Add '-30' to each side of the equation.
30 + -30 + 16x = 8 + -30

Combine like terms: 30 + -30 = 0
0 + 16x = 8 + -30
16x = 8 + -30

Combine like terms: 8 + -30 = -22
16x = -22

Divide each side by '16'.
x = -1.375

Simplifying
x = -1.375

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