2x+(3x-1)-3=8x-2x+4

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Solution for 2x+(3x-1)-3=8x-2x+4 equation:


Simplifying
2x + (3x + -1) + -3 = 8x + -2x + 4

Reorder the terms:
2x + (-1 + 3x) + -3 = 8x + -2x + 4

Remove parenthesis around (-1 + 3x)
2x + -1 + 3x + -3 = 8x + -2x + 4

Reorder the terms:
-1 + -3 + 2x + 3x = 8x + -2x + 4

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

Combine like terms: 2x + 3x = 5x
-4 + 5x = 8x + -2x + 4

Reorder the terms:
-4 + 5x = 4 + 8x + -2x

Combine like terms: 8x + -2x = 6x
-4 + 5x = 4 + 6x

Solving
-4 + 5x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 5x + -6x = 4 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-4 + -1x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -1x = 4 + 0
-4 + -1x = 4

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

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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