2x+8=6(x-4)

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


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

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

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

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

Combine like terms: 2x + -6x = -4x
8 + -4x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -4x = -24 + 0
8 + -4x = -24

Add '-8' to each side of the equation.
8 + -8 + -4x = -24 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -24 + -8
-4x = -24 + -8

Combine like terms: -24 + -8 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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