5x+3=x-5

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


Simplifying
5x + 3 = x + -5

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

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

Solving
3 + 5x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 5x + -1x = -5 + x + -1x

Combine like terms: 5x + -1x = 4x
3 + 4x = -5 + x + -1x

Combine like terms: x + -1x = 0
3 + 4x = -5 + 0
3 + 4x = -5

Add '-3' to each side of the equation.
3 + -3 + 4x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = -5 + -3
4x = -5 + -3

Combine like terms: -5 + -3 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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