4x-2=2(x+1)+6x

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Solution for 4x-2=2(x+1)+6x equation:


Simplifying
4x + -2 = 2(x + 1) + 6x

Reorder the terms:
-2 + 4x = 2(x + 1) + 6x

Reorder the terms:
-2 + 4x = 2(1 + x) + 6x
-2 + 4x = (1 * 2 + x * 2) + 6x
-2 + 4x = (2 + 2x) + 6x

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

Solving
-2 + 4x = 2 + 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.
-2 + 4x + -8x = 2 + 8x + -8x

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

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

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

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

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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