2x+34=11x-74

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Solution for 2x+34=11x-74 equation:


Simplifying
2x + 34 = 11x + -74

Reorder the terms:
34 + 2x = 11x + -74

Reorder the terms:
34 + 2x = -74 + 11x

Solving
34 + 2x = -74 + 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 + 2x + -11x = -74 + 11x + -11x

Combine like terms: 2x + -11x = -9x
34 + -9x = -74 + 11x + -11x

Combine like terms: 11x + -11x = 0
34 + -9x = -74 + 0
34 + -9x = -74

Add '-34' to each side of the equation.
34 + -34 + -9x = -74 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -74 + -34
-9x = -74 + -34

Combine like terms: -74 + -34 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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