3x+37=13x-53

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Solution for 3x+37=13x-53 equation:


Simplifying
3x + 37 = 13x + -53

Reorder the terms:
37 + 3x = 13x + -53

Reorder the terms:
37 + 3x = -53 + 13x

Solving
37 + 3x = -53 + 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.
37 + 3x + -13x = -53 + 13x + -13x

Combine like terms: 3x + -13x = -10x
37 + -10x = -53 + 13x + -13x

Combine like terms: 13x + -13x = 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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