3x+34=11x-38

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Solution for 3x+34=11x-38 equation:


Simplifying
3x + 34 = 11x + -38

Reorder the terms:
34 + 3x = 11x + -38

Reorder the terms:
34 + 3x = -38 + 11x

Solving
34 + 3x = -38 + 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.
34 + 3x + -11x = -38 + 11x + -11x

Combine like terms: 3x + -11x = -8x
34 + -8x = -38 + 11x + -11x

Combine like terms: 11x + -11x = 0
34 + -8x = -38 + 0
34 + -8x = -38

Add '-34' to each side of the equation.
34 + -34 + -8x = -38 + -34

Combine like terms: 34 + -34 = 0
0 + -8x = -38 + -34
-8x = -38 + -34

Combine like terms: -38 + -34 = -72
-8x = -72

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

Simplifying
x = 9

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