8x+4(x+6)=6(x+2)

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Solution for 8x+4(x+6)=6(x+2) equation:


Simplifying
8x + 4(x + 6) = 6(x + 2)

Reorder the terms:
8x + 4(6 + x) = 6(x + 2)
8x + (6 * 4 + x * 4) = 6(x + 2)
8x + (24 + 4x) = 6(x + 2)

Reorder the terms:
24 + 8x + 4x = 6(x + 2)

Combine like terms: 8x + 4x = 12x
24 + 12x = 6(x + 2)

Reorder the terms:
24 + 12x = 6(2 + x)
24 + 12x = (2 * 6 + x * 6)
24 + 12x = (12 + 6x)

Solving
24 + 12x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + 12x + -6x = 12 + 6x + -6x

Combine like terms: 12x + -6x = 6x
24 + 6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + 6x = 12 + 0
24 + 6x = 12

Add '-24' to each side of the equation.
24 + -24 + 6x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 12 + -24
6x = 12 + -24

Combine like terms: 12 + -24 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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