5a+2=6a-1

Solution for 5a+2=6a-1 equation:

Simplifying
5a + 2 = 6a + -1

Reorder the terms:
2 + 5a = 6a + -1

Reorder the terms:
2 + 5a = -1 + 6a

Solving
2 + 5a = -1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
2 + 5a + -6a = -1 + 6a + -6a

Combine like terms: 5a + -6a = -1a
2 + -1a = -1 + 6a + -6a

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

Add '-2' to each side of the equation.
2 + -2 + -1a = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -1 + -2
-1a = -1 + -2

Combine like terms: -1 + -2 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3