x*3+1=x*2+6

Solution for x*3+1=x*2+6 equation:

Simplifying
x * 3 + 1 = x * 2 + 6

Reorder the terms for easier multiplication:
3x + 1 = x * 2 + 6

Reorder the terms:
1 + 3x = x * 2 + 6

Reorder the terms for easier multiplication:
1 + 3x = 2x + 6

Reorder the terms:
1 + 3x = 6 + 2x

Solving
1 + 3x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 1x = 6 + 0
1 + 1x = 6

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5