3x+(8-2x)=8x+(4-6x)

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Solution for 3x+(8-2x)=8x+(4-6x) equation:


Simplifying
3x + (8 + -2x) = 8x + (4 + -6x)

Remove parenthesis around (8 + -2x)
3x + 8 + -2x = 8x + (4 + -6x)

Reorder the terms:
8 + 3x + -2x = 8x + (4 + -6x)

Combine like terms: 3x + -2x = 1x
8 + 1x = 8x + (4 + -6x)

Remove parenthesis around (4 + -6x)
8 + 1x = 8x + 4 + -6x

Reorder the terms:
8 + 1x = 4 + 8x + -6x

Combine like terms: 8x + -6x = 2x
8 + 1x = 4 + 2x

Solving
8 + 1x = 4 + 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 + 1x + -2x = 4 + 2x + -2x

Combine like terms: 1x + -2x = -1x
8 + -1x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -1x = 4 + 0
8 + -1x = 4

Add '-8' to each side of the equation.
8 + -8 + -1x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 4 + -8
-1x = 4 + -8

Combine like terms: 4 + -8 = -4
-1x = -4

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

Simplifying
x = 4

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