5x+37=14x-53

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Solution for 5x+37=14x-53 equation:


Simplifying
5x + 37 = 14x + -53

Reorder the terms:
37 + 5x = 14x + -53

Reorder the terms:
37 + 5x = -53 + 14x

Solving
37 + 5x = -53 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
37 + 5x + -14x = -53 + 14x + -14x

Combine like terms: 5x + -14x = -9x
37 + -9x = -53 + 14x + -14x

Combine like terms: 14x + -14x = 0
37 + -9x = -53 + 0
37 + -9x = -53

Add '-37' to each side of the equation.
37 + -37 + -9x = -53 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = -53 + -37
-9x = -53 + -37

Combine like terms: -53 + -37 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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