3x+34=12x-38

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Solution for 3x+34=12x-38 equation:


Simplifying
3x + 34 = 12x + -38

Reorder the terms:
34 + 3x = 12x + -38

Reorder the terms:
34 + 3x = -38 + 12x

Solving
34 + 3x = -38 + 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.
34 + 3x + -12x = -38 + 12x + -12x

Combine like terms: 3x + -12x = -9x
34 + -9x = -38 + 12x + -12x

Combine like terms: 12x + -12x = 0
34 + -9x = -38 + 0
34 + -9x = -38

Add '-34' to each side of the equation.
34 + -34 + -9x = -38 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -38 + -34
-9x = -38 + -34

Combine like terms: -38 + -34 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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