3x+37=12x-62

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Solution for 3x+37=12x-62 equation:


Simplifying
3x + 37 = 12x + -62

Reorder the terms:
37 + 3x = 12x + -62

Reorder the terms:
37 + 3x = -62 + 12x

Solving
37 + 3x = -62 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
37 + 3x + -12x = -62 + 12x + -12x

Combine like terms: 3x + -12x = -9x
37 + -9x = -62 + 12x + -12x

Combine like terms: 12x + -12x = 0
37 + -9x = -62 + 0
37 + -9x = -62

Add '-37' to each side of the equation.
37 + -37 + -9x = -62 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = -62 + -37
-9x = -62 + -37

Combine like terms: -62 + -37 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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