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

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


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

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

Reorder the terms:
4 + 6x = 2(-8 + 4x)
4 + 6x = (-8 * 2 + 4x * 2)
4 + 6x = (-16 + 8x)

Solving
4 + 6x = -16 + 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.
4 + 6x + -8x = -16 + 8x + -8x

Combine like terms: 6x + -8x = -2x
4 + -2x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -2x = -16 + 0
4 + -2x = -16

Add '-4' to each side of the equation.
4 + -4 + -2x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -16 + -4
-2x = -16 + -4

Combine like terms: -16 + -4 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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