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

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


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

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

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

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

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

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

Solving
-3 + 5x = -5 + 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 + 5x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-3 + 1x = -5 + 0
-3 + 1x = -5

Add '3' to each side of the equation.
-3 + 3 + 1x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -5 + 3
1x = -5 + 3

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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