5x+1=13x-37

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Solution for 5x+1=13x-37 equation:


Simplifying
5x + 1 = 13x + -37

Reorder the terms:
1 + 5x = 13x + -37

Reorder the terms:
1 + 5x = -37 + 13x

Solving
1 + 5x = -37 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
1 + 5x + -13x = -37 + 13x + -13x

Combine like terms: 5x + -13x = -8x
1 + -8x = -37 + 13x + -13x

Combine like terms: 13x + -13x = 0
1 + -8x = -37 + 0
1 + -8x = -37

Add '-1' to each side of the equation.
1 + -1 + -8x = -37 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = -37 + -1
-8x = -37 + -1

Combine like terms: -37 + -1 = -38
-8x = -38

Divide each side by '-8'.
x = 4.75

Simplifying
x = 4.75

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