5x+1=x+5

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Solution for 5x+1=x+5 equation:


Simplifying
5x + 1 = x + 5

Reorder the terms:
1 + 5x = x + 5

Reorder the terms:
1 + 5x = 5 + x

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 5 + -1

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

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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