2(x+3)+17=13(x-2)

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Solution for 2(x+3)+17=13(x-2) equation:


Simplifying
2(x + 3) + 17 = 13(x + -2)

Reorder the terms:
2(3 + x) + 17 = 13(x + -2)
(3 * 2 + x * 2) + 17 = 13(x + -2)
(6 + 2x) + 17 = 13(x + -2)

Reorder the terms:
6 + 17 + 2x = 13(x + -2)

Combine like terms: 6 + 17 = 23
23 + 2x = 13(x + -2)

Reorder the terms:
23 + 2x = 13(-2 + x)
23 + 2x = (-2 * 13 + x * 13)
23 + 2x = (-26 + 13x)

Solving
23 + 2x = -26 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
23 + 2x + -13x = -26 + 13x + -13x

Combine like terms: 2x + -13x = -11x
23 + -11x = -26 + 13x + -13x

Combine like terms: 13x + -13x = 0
23 + -11x = -26 + 0
23 + -11x = -26

Add '-23' to each side of the equation.
23 + -23 + -11x = -26 + -23

Combine like terms: 23 + -23 = 0
0 + -11x = -26 + -23
-11x = -26 + -23

Combine like terms: -26 + -23 = -49
-11x = -49

Divide each side by '-11'.
x = 4.454545455

Simplifying
x = 4.454545455

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