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

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

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

Reorder the terms:
1 + 2a = 4a + 1 * 6 + -3a

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

Reorder the terms:
1 + 2a = 6 + 4a + -3a

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

Solving
1 + 2a = 6 + 1a

Solving for variable 'a'.

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

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

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

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

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

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

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

Divide each side by '1'.
a = 5

Simplifying
a = 5