2x+21=11x-51

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Solution for 2x+21=11x-51 equation:


Simplifying
2x + 21 = 11x + -51

Reorder the terms:
21 + 2x = 11x + -51

Reorder the terms:
21 + 2x = -51 + 11x

Solving
21 + 2x = -51 + 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.
21 + 2x + -11x = -51 + 11x + -11x

Combine like terms: 2x + -11x = -9x
21 + -9x = -51 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -9x = -51 + 0
21 + -9x = -51

Add '-21' to each side of the equation.
21 + -21 + -9x = -51 + -21

Combine like terms: 21 + -21 = 0
0 + -9x = -51 + -21
-9x = -51 + -21

Combine like terms: -51 + -21 = -72
-9x = -72

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

Simplifying
x = 8

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