3x-2=-5x-6

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Solution for 3x-2=-5x-6 equation:


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

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

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

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

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

Combine like terms: -5x + 5x = 0
-2 + 8x = -6 + 0
-2 + 8x = -6

Add '2' to each side of the equation.
-2 + 2 + 8x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -6 + 2
8x = -6 + 2

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

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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