5x-14=x-37

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Solution for 5x-14=x-37 equation:


Simplifying
5x + -14 = x + -37

Reorder the terms:
-14 + 5x = x + -37

Reorder the terms:
-14 + 5x = -37 + x

Solving
-14 + 5x = -37 + 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.
-14 + 5x + -1x = -37 + x + -1x

Combine like terms: 5x + -1x = 4x
-14 + 4x = -37 + x + -1x

Combine like terms: x + -1x = 0
-14 + 4x = -37 + 0
-14 + 4x = -37

Add '14' to each side of the equation.
-14 + 14 + 4x = -37 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = -37 + 14
4x = -37 + 14

Combine like terms: -37 + 14 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75

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