11x+19=2x+289

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Solution for 11x+19=2x+289 equation:


Simplifying
11x + 19 = 2x + 289

Reorder the terms:
19 + 11x = 2x + 289

Reorder the terms:
19 + 11x = 289 + 2x

Solving
19 + 11x = 289 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
19 + 11x + -2x = 289 + 2x + -2x

Combine like terms: 11x + -2x = 9x
19 + 9x = 289 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + 9x = 289 + 0
19 + 9x = 289

Add '-19' to each side of the equation.
19 + -19 + 9x = 289 + -19

Combine like terms: 19 + -19 = 0
0 + 9x = 289 + -19
9x = 289 + -19

Combine like terms: 289 + -19 = 270
9x = 270

Divide each side by '9'.
x = 30

Simplifying
x = 30

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