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

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


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

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

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

Remove parenthesis around (-2 + 8x)
24 + 6x = -2 + 8x

Solving
24 + 6x = -2 + 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 = -2 + 8x + -8x

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

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

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

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

Combine like terms: -2 + -24 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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