3+4x+2-x=-5+6x+7-4

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Solution for 3+4x+2-x=-5+6x+7-4 equation: 


Simplifying
3 + 4x + 2 + -1x = -5 + 6x + 7 + -4

Reorder the terms:
3 + 2 + 4x + -1x = -5 + 6x + 7 + -4

Combine like terms: 3 + 2 = 5
5 + 4x + -1x = -5 + 6x + 7 + -4

Combine like terms: 4x + -1x = 3x
5 + 3x = -5 + 6x + 7 + -4

Reorder the terms:
5 + 3x = -5 + 7 + -4 + 6x

Combine like terms: -5 + 7 = 2
5 + 3x = 2 + -4 + 6x

Combine like terms: 2 + -4 = -2
5 + 3x = -2 + 6x

Solving
5 + 3x = -2 + 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.
5 + 3x + -6x = -2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
5 + -3x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -3x = -2 + 0
5 + -3x = -2

Add '-5' to each side of the equation.
5 + -5 + -3x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -2 + -5
-3x = -2 + -5

Combine like terms: -2 + -5 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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