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

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


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

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

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

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

Combine like terms: -1x + x = 0
10 + 3x = -8 + 0
10 + 3x = -8

Solving
10 + 3x = -8

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -8 + -10
3x = -8 + -10

Combine like terms: -8 + -10 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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