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

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


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

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

Remove parenthesis around (-8 + 4x)
-8 + 4x = (2x + 6)

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

Remove parenthesis around (6 + 2x)
-8 + 4x = 6 + 2x

Solving
-8 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 4x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-8 + 2x = 6 + 0
-8 + 2x = 6

Add '8' to each side of the equation.
-8 + 8 + 2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 6 + 8
2x = 6 + 8

Combine like terms: 6 + 8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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