11(x+3)-5x=17-x

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Solution for 11(x+3)-5x=17-x equation:


Simplifying
11(x + 3) + -5x = 17 + -1x

Reorder the terms:
11(3 + x) + -5x = 17 + -1x
(3 * 11 + x * 11) + -5x = 17 + -1x
(33 + 11x) + -5x = 17 + -1x

Combine like terms: 11x + -5x = 6x
33 + 6x = 17 + -1x

Solving
33 + 6x = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
33 + 6x + x = 17 + -1x + x

Combine like terms: 6x + x = 7x
33 + 7x = 17 + -1x + x

Combine like terms: -1x + x = 0
33 + 7x = 17 + 0
33 + 7x = 17

Add '-33' to each side of the equation.
33 + -33 + 7x = 17 + -33

Combine like terms: 33 + -33 = 0
0 + 7x = 17 + -33
7x = 17 + -33

Combine like terms: 17 + -33 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286

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