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

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Solution for 3x-5x+2x-6=7-6-1x-4x+3 equation:


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

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

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

Combine like terms: -2x + 2x = 0
-6 + 0 = 7 + -6 + -1x + -4x + 3
-6 = 7 + -6 + -1x + -4x + 3

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

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

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

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

Solving
-6 = 4 + -5x

Solving for variable 'x'.

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

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

Combine like terms: -5x + 5x = 0
-6 + 5x = 4 + 0
-6 + 5x = 4

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

Combine like terms: -6 + 6 = 0
0 + 5x = 4 + 6
5x = 4 + 6

Combine like terms: 4 + 6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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