2a-6=5a-1.5

Solution for 2a-6=5a-1.5 equation:

Simplifying
2a + -6 = 5a + -1.5

Reorder the terms:
-6 + 2a = 5a + -1.5

Reorder the terms:
-6 + 2a = -1.5 + 5a

Solving
-6 + 2a = -1.5 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-6 + 2a + -5a = -1.5 + 5a + -5a

Combine like terms: 2a + -5a = -3a
-6 + -3a = -1.5 + 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + -3a = -1.5 + 0
-6 + -3a = -1.5

Add '6' to each side of the equation.
-6 + 6 + -3a = -1.5 + 6

Combine like terms: -6 + 6 = 0
0 + -3a = -1.5 + 6
-3a = -1.5 + 6

Combine like terms: -1.5 + 6 = 4.5
-3a = 4.5

Divide each side by '-3'.
a = -1.5

Simplifying
a = -1.5