5x+2=3x-6x

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


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

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

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

Solving
2 + 5x = -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
2 + 8x = 0

Add '-2' to each side of the equation.
2 + -2 + 8x = 0 + -2

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

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

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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