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

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


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

Reorder the terms:
-3(5 + x) + 5 = 5(x + 2) + 8
(5 * -3 + x * -3) + 5 = 5(x + 2) + 8
(-15 + -3x) + 5 = 5(x + 2) + 8

Reorder the terms:
-15 + 5 + -3x = 5(x + 2) + 8

Combine like terms: -15 + 5 = -10
-10 + -3x = 5(x + 2) + 8

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

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

Combine like terms: 10 + 8 = 18
-10 + -3x = 18 + 5x

Solving
-10 + -3x = 18 + 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.
-10 + -3x + -5x = 18 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-10 + -8x = 18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -8x = 18 + 0
-10 + -8x = 18

Add '10' to each side of the equation.
-10 + 10 + -8x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 18 + 10
-8x = 18 + 10

Combine like terms: 18 + 10 = 28
-8x = 28

Divide each side by '-8'.
x = -3.5

Simplifying
x = -3.5

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