6.1x+1=5.1x

Solution for 6.1x+1=5.1x equation:

Simplifying
6.1x + 1 = 5.1x

Reorder the terms:
1 + 6.1x = 5.1x

Solving
1 + 6.1x = 5.1x

Solving for variable 'x'.

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

Add '-5.1x' to each side of the equation.
1 + 6.1x + -5.1x = 5.1x + -5.1x

Combine like terms: 6.1x + -5.1x = 1x
1 + 1x = 5.1x + -5.1x

Combine like terms: 5.1x + -5.1x = 0.0
1 + 1x = 0.0

Add '-1' to each side of the equation.
1 + -1 + 1x = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 0.0 + -1
1x = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1