11x+13(19-x)=209

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Solution for 11x+13(19-x)=209 equation:


Simplifying
11x + 13(19 + -1x) = 209
11x + (19 * 13 + -1x * 13) = 209
11x + (247 + -13x) = 209

Reorder the terms:
247 + 11x + -13x = 209

Combine like terms: 11x + -13x = -2x
247 + -2x = 209

Solving
247 + -2x = 209

Solving for variable 'x'.

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

Add '-247' to each side of the equation.
247 + -247 + -2x = 209 + -247

Combine like terms: 247 + -247 = 0
0 + -2x = 209 + -247
-2x = 209 + -247

Combine like terms: 209 + -247 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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