3(2x+8)=4x+(4x-6)

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Solution for 3(2x+8)=4x+(4x-6) equation:


Simplifying
3(2x + 8) = 4x + (4x + -6)

Reorder the terms:
3(8 + 2x) = 4x + (4x + -6)
(8 * 3 + 2x * 3) = 4x + (4x + -6)
(24 + 6x) = 4x + (4x + -6)

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

Remove parenthesis around (-6 + 4x)
24 + 6x = 4x + -6 + 4x

Reorder the terms:
24 + 6x = -6 + 4x + 4x

Combine like terms: 4x + 4x = 8x
24 + 6x = -6 + 8x

Solving
24 + 6x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 6x + -8x = -6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
24 + -2x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -2x = -6 + 0
24 + -2x = -6

Add '-24' to each side of the equation.
24 + -24 + -2x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -6 + -24
-2x = -6 + -24

Combine like terms: -6 + -24 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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