4x+5=x-5

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Solution for 4x+5=x-5 equation: 


Simplifying
4x + 5 = x + -5

Reorder the terms:
5 + 4x = x + -5

Reorder the terms:
5 + 4x = -5 + x

Solving
5 + 4x = -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.
5 + 4x + -1x = -5 + x + -1x

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

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

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

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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