5x+2=5-3x

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


Simplifying
5x + 2 = 5 + -3x

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

Solving
2 + 5x = 5 + -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.
2 + 5x + 3x = 5 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 8x = 5 + 0
2 + 8x = 5

Add '-2' to each side of the equation.
2 + -2 + 8x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 5 + -2
8x = 5 + -2

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

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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