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

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


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

Reorder the terms:
5(2 + x) + 5 = -3(x + -8) + -1
(2 * 5 + x * 5) + 5 = -3(x + -8) + -1
(10 + 5x) + 5 = -3(x + -8) + -1

Reorder the terms:
10 + 5 + 5x = -3(x + -8) + -1

Combine like terms: 10 + 5 = 15
15 + 5x = -3(x + -8) + -1

Reorder the terms:
15 + 5x = -3(-8 + x) + -1
15 + 5x = (-8 * -3 + x * -3) + -1
15 + 5x = (24 + -3x) + -1

Reorder the terms:
15 + 5x = 24 + -1 + -3x

Combine like terms: 24 + -1 = 23
15 + 5x = 23 + -3x

Solving
15 + 5x = 23 + -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.
15 + 5x + 3x = 23 + -3x + 3x

Combine like terms: 5x + 3x = 8x
15 + 8x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 8x = 23 + 0
15 + 8x = 23

Add '-15' to each side of the equation.
15 + -15 + 8x = 23 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 23 + -15
8x = 23 + -15

Combine like terms: 23 + -15 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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