11(12+14x)+15(14-5x)=263

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Solution for 11(12+14x)+15(14-5x)=263 equation: 


Simplifying
11(12 + 14x) + 15(14 + -5x) = 263
(12 * 11 + 14x * 11) + 15(14 + -5x) = 263
(132 + 154x) + 15(14 + -5x) = 263
132 + 154x + (14 * 15 + -5x * 15) = 263
132 + 154x + (210 + -75x) = 263

Reorder the terms:
132 + 210 + 154x + -75x = 263

Combine like terms: 132 + 210 = 342
342 + 154x + -75x = 263

Combine like terms: 154x + -75x = 79x
342 + 79x = 263

Solving
342 + 79x = 263

Solving for variable 'x'.

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

Add '-342' to each side of the equation.
342 + -342 + 79x = 263 + -342

Combine like terms: 342 + -342 = 0
0 + 79x = 263 + -342
79x = 263 + -342

Combine like terms: 263 + -342 = -79
79x = -79

Divide each side by '79'.
x = -1

Simplifying
x = -1

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