3x+6=4x+1

Solution for 3x+6=4x+1 equation:

Simplifying
3x + 6 = 4x + 1

Reorder the terms:
6 + 3x = 4x + 1

Reorder the terms:
6 + 3x = 1 + 4x

Solving
6 + 3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 1 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 1 + 4x + -4x

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5