(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
(11x) + (247 + -13x) = 209

Remove parenthesis around (247 + -13x)
(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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