3x+38=12x-43

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Solution for 3x+38=12x-43 equation:


Simplifying
3x + 38 = 12x + -43

Reorder the terms:
38 + 3x = 12x + -43

Reorder the terms:
38 + 3x = -43 + 12x

Solving
38 + 3x = -43 + 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.
38 + 3x + -12x = -43 + 12x + -12x

Combine like terms: 3x + -12x = -9x
38 + -9x = -43 + 12x + -12x

Combine like terms: 12x + -12x = 0
38 + -9x = -43 + 0
38 + -9x = -43

Add '-38' to each side of the equation.
38 + -38 + -9x = -43 + -38

Combine like terms: 38 + -38 = 0
0 + -9x = -43 + -38
-9x = -43 + -38

Combine like terms: -43 + -38 = -81
-9x = -81

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

Simplifying
x = 9

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