6-2a+3a=1+6a-4a

Solution for 6-2a+3a=1+6a-4a equation:

Simplifying
6 + -2a + 3a = 1 + 6a + -4a

Combine like terms: -2a + 3a = 1a
6 + 1a = 1 + 6a + -4a

Combine like terms: 6a + -4a = 2a
6 + 1a = 1 + 2a

Solving
6 + 1a = 1 + 2a

Solving for variable 'a'.

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

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

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

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

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

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

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

Divide each side by '-1'.
a = 5

Simplifying
a = 5