3x+37=11x-51

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Solution for 3x+37=11x-51 equation:


Simplifying
3x + 37 = 11x + -51

Reorder the terms:
37 + 3x = 11x + -51

Reorder the terms:
37 + 3x = -51 + 11x

Solving
37 + 3x = -51 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
37 + 3x + -11x = -51 + 11x + -11x

Combine like terms: 3x + -11x = -8x
37 + -8x = -51 + 11x + -11x

Combine like terms: 11x + -11x = 0
37 + -8x = -51 + 0
37 + -8x = -51

Add '-37' to each side of the equation.
37 + -37 + -8x = -51 + -37

Combine like terms: 37 + -37 = 0
0 + -8x = -51 + -37
-8x = -51 + -37

Combine like terms: -51 + -37 = -88
-8x = -88

Divide each side by '-8'.
x = 11

Simplifying
x = 11

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