4x+6=5x-1

Solution for 4x+6=5x-1 equation:

Simplifying
4x + 6 = 5x + -1

Reorder the terms:
6 + 4x = 5x + -1

Reorder the terms:
6 + 4x = -1 + 5x

Solving
6 + 4x = -1 + 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.
6 + 4x + -5x = -1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -1x = -1 + 0
6 + -1x = -1

Add '-6' to each side of the equation.
6 + -6 + -1x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -1 + -6
-1x = -1 + -6

Combine like terms: -1 + -6 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7