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

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


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

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

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

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

Reorder the terms:
4 + 2x = 6(-4 + 2x)
4 + 2x = (-4 * 6 + 2x * 6)
4 + 2x = (-24 + 12x)

Solving
4 + 2x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4 + 2x + -12x = -24 + 12x + -12x

Combine like terms: 2x + -12x = -10x
4 + -10x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -10x = -24 + 0
4 + -10x = -24

Add '-4' to each side of the equation.
4 + -4 + -10x = -24 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -24 + -4
-10x = -24 + -4

Combine like terms: -24 + -4 = -28
-10x = -28

Divide each side by '-10'.
x = 2.8

Simplifying
x = 2.8

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