3x+5=8-5x

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


Simplifying
3x + 5 = 8 + -5x

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

Solving
5 + 3x = 8 + -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.
5 + 3x + 5x = 8 + -5x + 5x

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

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

Add '-5' to each side of the equation.
5 + -5 + 8x = 8 + -5

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

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

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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