3x+11=6x-31

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Solution for 3x+11=6x-31 equation:


Simplifying
3x + 11 = 6x + -31

Reorder the terms:
11 + 3x = 6x + -31

Reorder the terms:
11 + 3x = -31 + 6x

Solving
11 + 3x = -31 + 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.
11 + 3x + -6x = -31 + 6x + -6x

Combine like terms: 3x + -6x = -3x
11 + -3x = -31 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -3x = -31 + 0
11 + -3x = -31

Add '-11' to each side of the equation.
11 + -11 + -3x = -31 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -31 + -11
-3x = -31 + -11

Combine like terms: -31 + -11 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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