2(24-x)-11=4x-17

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Solution for 2(24-x)-11=4x-17 equation:


Simplifying
2(24 + -1x) + -11 = 4x + -17
(24 * 2 + -1x * 2) + -11 = 4x + -17
(48 + -2x) + -11 = 4x + -17

Reorder the terms:
48 + -11 + -2x = 4x + -17

Combine like terms: 48 + -11 = 37
37 + -2x = 4x + -17

Reorder the terms:
37 + -2x = -17 + 4x

Solving
37 + -2x = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
37 + -2x + -4x = -17 + 4x + -4x

Combine like terms: -2x + -4x = -6x
37 + -6x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
37 + -6x = -17 + 0
37 + -6x = -17

Add '-37' to each side of the equation.
37 + -37 + -6x = -17 + -37

Combine like terms: 37 + -37 = 0
0 + -6x = -17 + -37
-6x = -17 + -37

Combine like terms: -17 + -37 = -54
-6x = -54

Divide each side by '-6'.
x = 9

Simplifying
x = 9

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