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

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


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

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

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

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

Reorder the terms:
-2 + 2x = 8 + 2 + 4x

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

Solving
-2 + 2x = 10 + 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.
-2 + 2x + -4x = 10 + 4x + -4x

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

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

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

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

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

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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