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

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


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

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

Combine like terms: 2 + -5 = -3
-3 + -3x = 5 + -8x + 8

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

Combine like terms: 5 + 8 = 13
-3 + -3x = 13 + -8x

Solving
-3 + -3x = 13 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + -3x + 8x = 13 + -8x + 8x

Combine like terms: -3x + 8x = 5x
-3 + 5x = 13 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 5x = 13 + 0
-3 + 5x = 13

Add '3' to each side of the equation.
-3 + 3 + 5x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 13 + 3
5x = 13 + 3

Combine like terms: 13 + 3 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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