3+4x+1-x=-5+5x+6-3x

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Solution for 3+4x+1-x=-5+5x+6-3x equation:


Simplifying
3 + 4x + 1 + -1x = -5 + 5x + 6 + -3x

Reorder the terms:
3 + 1 + 4x + -1x = -5 + 5x + 6 + -3x

Combine like terms: 3 + 1 = 4
4 + 4x + -1x = -5 + 5x + 6 + -3x

Combine like terms: 4x + -1x = 3x
4 + 3x = -5 + 5x + 6 + -3x

Reorder the terms:
4 + 3x = -5 + 6 + 5x + -3x

Combine like terms: -5 + 6 = 1
4 + 3x = 1 + 5x + -3x

Combine like terms: 5x + -3x = 2x
4 + 3x = 1 + 2x

Solving
4 + 3x = 1 + 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.
4 + 3x + -2x = 1 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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