2(4-5x)+9=2x-23-8x

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Solution for 2(4-5x)+9=2x-23-8x equation:


Simplifying
2(4 + -5x) + 9 = 2x + -23 + -8x
(4 * 2 + -5x * 2) + 9 = 2x + -23 + -8x
(8 + -10x) + 9 = 2x + -23 + -8x

Reorder the terms:
8 + 9 + -10x = 2x + -23 + -8x

Combine like terms: 8 + 9 = 17
17 + -10x = 2x + -23 + -8x

Reorder the terms:
17 + -10x = -23 + 2x + -8x

Combine like terms: 2x + -8x = -6x
17 + -10x = -23 + -6x

Solving
17 + -10x = -23 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + -10x + 6x = -23 + -6x + 6x

Combine like terms: -10x + 6x = -4x
17 + -4x = -23 + -6x + 6x

Combine like terms: -6x + 6x = 0
17 + -4x = -23 + 0
17 + -4x = -23

Add '-17' to each side of the equation.
17 + -17 + -4x = -23 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = -23 + -17
-4x = -23 + -17

Combine like terms: -23 + -17 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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