5x+1=3x-13

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Solution for 5x+1=3x-13 equation: 


Simplifying
5x + 1 = 3x + -13

Reorder the terms:
1 + 5x = 3x + -13

Reorder the terms:
1 + 5x = -13 + 3x

Solving
1 + 5x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 5x + -3x = -13 + 3x + -3x

Combine like terms: 5x + -3x = 2x
1 + 2x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 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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