3x-5=-6x+1

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Solution for 3x-5=-6x+1 equation:


Simplifying
3x + -5 = -6x + 1

Reorder the terms:
-5 + 3x = -6x + 1

Reorder the terms:
-5 + 3x = 1 + -6x

Solving
-5 + 3x = 1 + -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.
-5 + 3x + 6x = 1 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-5 + 9x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 9x = 1 + 0
-5 + 9x = 1

Add '5' to each side of the equation.
-5 + 5 + 9x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 1 + 5
9x = 1 + 5

Combine like terms: 1 + 5 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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