6a+1.6=7a-6.5

Solution for 6a+1.6=7a-6.5 equation:

Simplifying
6a + 1.6 = 7a + -6.5

Reorder the terms:
1.6 + 6a = 7a + -6.5

Reorder the terms:
1.6 + 6a = -6.5 + 7a

Solving
1.6 + 6a = -6.5 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
1.6 + 6a + -7a = -6.5 + 7a + -7a

Combine like terms: 6a + -7a = -1a
1.6 + -1a = -6.5 + 7a + -7a

Combine like terms: 7a + -7a = 0
1.6 + -1a = -6.5 + 0
1.6 + -1a = -6.5

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -1a = -6.5 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1a = -6.5 + -1.6
-1a = -6.5 + -1.6

Combine like terms: -6.5 + -1.6 = -8.1
-1a = -8.1

Divide each side by '-1'.
a = 8.1

Simplifying
a = 8.1