4x+37=14x-53

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Solution for 4x+37=14x-53 equation:


Simplifying
4x + 37 = 14x + -53

Reorder the terms:
37 + 4x = 14x + -53

Reorder the terms:
37 + 4x = -53 + 14x

Solving
37 + 4x = -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 + 4x + -14x = -53 + 14x + -14x

Combine like terms: 4x + -14x = -10x
37 + -10x = -53 + 14x + -14x

Combine like terms: 14x + -14x = 0
37 + -10x = -53 + 0
37 + -10x = -53

Add '-37' to each side of the equation.
37 + -37 + -10x = -53 + -37

Combine like terms: 37 + -37 = 0
0 + -10x = -53 + -37
-10x = -53 + -37

Combine like terms: -53 + -37 = -90
-10x = -90

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

Simplifying
x = 9

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