3x+1=6x-5

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


Simplifying
3x + 1 = 6x + -5

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

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

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

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

Combine like terms: 6x + -6x = 0
1 + -3x = -5 + 0
1 + -3x = -5

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

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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