4a+5+6a-2=1+3a+6+4a

Solution for 4a+5+6a-2=1+3a+6+4a equation:

Simplifying
4a + 5 + 6a + -2 = 1 + 3a + 6 + 4a

Reorder the terms:
5 + -2 + 4a + 6a = 1 + 3a + 6 + 4a

Combine like terms: 5 + -2 = 3
3 + 4a + 6a = 1 + 3a + 6 + 4a

Combine like terms: 4a + 6a = 10a
3 + 10a = 1 + 3a + 6 + 4a

Reorder the terms:
3 + 10a = 1 + 6 + 3a + 4a

Combine like terms: 1 + 6 = 7
3 + 10a = 7 + 3a + 4a

Combine like terms: 3a + 4a = 7a
3 + 10a = 7 + 7a

Solving
3 + 10a = 7 + 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.
3 + 10a + -7a = 7 + 7a + -7a

Combine like terms: 10a + -7a = 3a
3 + 3a = 7 + 7a + -7a

Combine like terms: 7a + -7a = 0
3 + 3a = 7 + 0
3 + 3a = 7

Add '-3' to each side of the equation.
3 + -3 + 3a = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 3a = 7 + -3
3a = 7 + -3

Combine like terms: 7 + -3 = 4
3a = 4

Divide each side by '3'.
a = 1.333333333

Simplifying
a = 1.333333333