3x+2-4x-5=2x+8-6x-2

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Solution for 3x+2-4x-5=2x+8-6x-2 equation:


Simplifying
3x + 2 + -4x + -5 = 2x + 8 + -6x + -2

Reorder the terms:
2 + -5 + 3x + -4x = 2x + 8 + -6x + -2

Combine like terms: 2 + -5 = -3
-3 + 3x + -4x = 2x + 8 + -6x + -2

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

Reorder the terms:
-3 + -1x = 8 + -2 + 2x + -6x

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

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

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

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-3 + -1x + 4x = 6 + -4x + 4x

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

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 6 + 3

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

Combine like terms: 6 + 3 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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