3x+2=5-6x

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


Simplifying
3x + 2 = 5 + -6x

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

Solving
2 + 3x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + 3x + 6x = 5 + -6x + 6x

Combine like terms: 3x + 6x = 9x
2 + 9x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 9x = 5 + 0
2 + 9x = 5

Add '-2' to each side of the equation.
2 + -2 + 9x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 5 + -2
9x = 5 + -2

Combine like terms: 5 + -2 = 3
9x = 3

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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