3x+37=5x-37

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Solution for 3x+37=5x-37 equation:


Simplifying
3x + 37 = 5x + -37

Reorder the terms:
37 + 3x = 5x + -37

Reorder the terms:
37 + 3x = -37 + 5x

Solving
37 + 3x = -37 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
37 + 3x + -5x = -37 + 5x + -5x

Combine like terms: 3x + -5x = -2x
37 + -2x = -37 + 5x + -5x

Combine like terms: 5x + -5x = 0
37 + -2x = -37 + 0
37 + -2x = -37

Add '-37' to each side of the equation.
37 + -37 + -2x = -37 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = -37 + -37
-2x = -37 + -37

Combine like terms: -37 + -37 = -74
-2x = -74

Divide each side by '-2'.
x = 37

Simplifying
x = 37

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