6-5a=-7a+6a+10

Solution for 6-5a=-7a+6a+10 equation:

Simplifying
6 + -5a = -7a + 6a + 10

Reorder the terms:
6 + -5a = 10 + -7a + 6a

Combine like terms: -7a + 6a = -1a
6 + -5a = 10 + -1a

Solving
6 + -5a = 10 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + -5a + a = 10 + -1a + a

Combine like terms: -5a + a = -4a
6 + -4a = 10 + -1a + a

Combine like terms: -1a + a = 0
6 + -4a = 10 + 0
6 + -4a = 10

Add '-6' to each side of the equation.
6 + -6 + -4a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = 10 + -6
-4a = 10 + -6

Combine like terms: 10 + -6 = 4
-4a = 4

Divide each side by '-4'.
a = -1

Simplifying
a = -1