3(x+4)+3=-5(x-8)-1

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Solution for 3(x+4)+3=-5(x-8)-1 equation: 


Simplifying
3(x + 4) + 3 = -5(x + -8) + -1

Reorder the terms:
3(4 + x) + 3 = -5(x + -8) + -1
(4 * 3 + x * 3) + 3 = -5(x + -8) + -1
(12 + 3x) + 3 = -5(x + -8) + -1

Reorder the terms:
12 + 3 + 3x = -5(x + -8) + -1

Combine like terms: 12 + 3 = 15
15 + 3x = -5(x + -8) + -1

Reorder the terms:
15 + 3x = -5(-8 + x) + -1
15 + 3x = (-8 * -5 + x * -5) + -1
15 + 3x = (40 + -5x) + -1

Reorder the terms:
15 + 3x = 40 + -1 + -5x

Combine like terms: 40 + -1 = 39
15 + 3x = 39 + -5x

Solving
15 + 3x = 39 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
15 + 3x + 5x = 39 + -5x + 5x

Combine like terms: 3x + 5x = 8x
15 + 8x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
15 + 8x = 39 + 0
15 + 8x = 39

Add '-15' to each side of the equation.
15 + -15 + 8x = 39 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 39 + -15
8x = 39 + -15

Combine like terms: 39 + -15 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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