8+2x=3(-x+8)-41

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Solution for 8+2x=3(-x+8)-41 equation:


Simplifying
8 + 2x = 3(-1x + 8) + -41

Reorder the terms:
8 + 2x = 3(8 + -1x) + -41
8 + 2x = (8 * 3 + -1x * 3) + -41
8 + 2x = (24 + -3x) + -41

Reorder the terms:
8 + 2x = 24 + -41 + -3x

Combine like terms: 24 + -41 = -17
8 + 2x = -17 + -3x

Solving
8 + 2x = -17 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + 2x + 3x = -17 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = -17 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = -17 + 0
8 + 5x = -17

Add '-8' to each side of the equation.
8 + -8 + 5x = -17 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = -17 + -8
5x = -17 + -8

Combine like terms: -17 + -8 = -25
5x = -25

Divide each side by '5'.
x = -5

Simplifying
x = -5

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