3(2x+8)-x+5(x-x+5)-3x+1=24

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Solution for 3(2x+8)-x+5(x-x+5)-3x+1=24 equation: 


Simplifying
3(2x + 8) + -1x + 5(x + -1x + 5) + -3x + 1 = 24

Reorder the terms:
3(8 + 2x) + -1x + 5(x + -1x + 5) + -3x + 1 = 24
(8 * 3 + 2x * 3) + -1x + 5(x + -1x + 5) + -3x + 1 = 24
(24 + 6x) + -1x + 5(x + -1x + 5) + -3x + 1 = 24

Reorder the terms:
24 + 6x + -1x + 5(5 + x + -1x) + -3x + 1 = 24

Combine like terms: x + -1x = 0
24 + 6x + -1x + 5(5 + 0) + -3x + 1 = 24
24 + 6x + -1x + 5(5) + -3x + 1 = 24

Multiply 5 * 5
24 + 6x + -1x + 25 + -3x + 1 = 24

Reorder the terms:
24 + 25 + 1 + 6x + -1x + -3x = 24

Combine like terms: 24 + 25 = 49
49 + 1 + 6x + -1x + -3x = 24

Combine like terms: 49 + 1 = 50
50 + 6x + -1x + -3x = 24

Combine like terms: 6x + -1x = 5x
50 + 5x + -3x = 24

Combine like terms: 5x + -3x = 2x
50 + 2x = 24

Solving
50 + 2x = 24

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 2x = 24 + -50

Combine like terms: 50 + -50 = 0
0 + 2x = 24 + -50
2x = 24 + -50

Combine like terms: 24 + -50 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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