x+5=5x+6

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Solution for x+5=5x+6 equation:


Simplifying
x + 5 = 5x + 6

Reorder the terms:
5 + x = 5x + 6

Reorder the terms:
5 + x = 6 + 5x

Solving
5 + x = 6 + 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 + x + -5x = 6 + 5x + -5x

Combine like terms: x + -5x = -4x
5 + -4x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -4x = 6 + 0
5 + -4x = 6

Add '-5' to each side of the equation.
5 + -5 + -4x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 6 + -5
-4x = 6 + -5

Combine like terms: 6 + -5 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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