3x+1=x-13

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Solution for 3x+1=x-13 equation:


Simplifying
3x + 1 = x + -13

Reorder the terms:
1 + 3x = x + -13

Reorder the terms:
1 + 3x = -13 + x

Solving
1 + 3x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 3x + -1x = -13 + x + -1x

Combine like terms: 3x + -1x = 2x
1 + 2x = -13 + x + -1x

Combine like terms: x + -1x = 0
1 + 2x = -13 + 0
1 + 2x = -13

Add '-1' to each side of the equation.
1 + -1 + 2x = -13 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = -13 + -1
2x = -13 + -1

Combine like terms: -13 + -1 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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