(2x+8)+(4x-2)=48

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Solution for (2x+8)+(4x-2)=48 equation:


Simplifying
(2x + 8) + (4x + -2) = 48

Reorder the terms:
(8 + 2x) + (4x + -2) = 48

Remove parenthesis around (8 + 2x)
8 + 2x + (4x + -2) = 48

Reorder the terms:
8 + 2x + (-2 + 4x) = 48

Remove parenthesis around (-2 + 4x)
8 + 2x + -2 + 4x = 48

Reorder the terms:
8 + -2 + 2x + 4x = 48

Combine like terms: 8 + -2 = 6
6 + 2x + 4x = 48

Combine like terms: 2x + 4x = 6x
6 + 6x = 48

Solving
6 + 6x = 48

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 48 + -6
6x = 48 + -6

Combine like terms: 48 + -6 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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