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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -2x = 8 + -4(x + 2)

Reorder the terms:
10 + -2x = 8 + -4(2 + x)
10 + -2x = 8 + (2 * -4 + x * -4)
10 + -2x = 8 + (-8 + -4x)

Combine like terms: 8 + -8 = 0
10 + -2x = 0 + -4x
10 + -2x = -4x

Solving
10 + -2x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -2x + 4x = -4x + 4x

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

Combine like terms: -4x + 4x = 0
10 + 2x = 0

Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10

Combine like terms: 0 + -10 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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