2a-6+5a=3a+10fora

Solution for 2a-6+5a=3a+10fora equation:

Simplifying
2a + -6 + 5a = 3a + 10fora

Reorder the terms:
-6 + 2a + 5a = 3a + 10fora

Combine like terms: 2a + 5a = 7a
-6 + 7a = 3a + 10fora

Solving
-6 + 7a = 3a + 10afor

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 7a + -3a = 3a + -3a + 10afor

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

Combine like terms: 3a + -3a = 0
-6 + 4a = 0 + 10afor
-6 + 4a = 10afor

Add '-10afor' to each side of the equation.
-6 + 4a + -10afor = 10afor + -10afor

Combine like terms: 10afor + -10afor = 0
-6 + 4a + -10afor = 0

Add '6' to each side of the equation.
-6 + 4a + 6 + -10afor = 0 + 6

Reorder the terms:
-6 + 6 + 4a + -10afor = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 4a + -10afor = 0 + 6
4a + -10afor = 0 + 6

Combine like terms: 0 + 6 = 6
4a + -10afor = 6

Reorder the terms:
-6 + 4a + -10afor = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 4a + -10afor = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 2a + -5afor) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + 2a + -5afor)' equal to zero and attempt to solve:

Simplifying
-3 + 2a + -5afor = 0

Solving
-3 + 2a + -5afor = 0

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

Add '3' to each side of the equation.
-3 + 2a + 3 + -5afor = 0 + 3

Reorder the terms:
-3 + 3 + 2a + -5afor = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2a + -5afor = 0 + 3
2a + -5afor = 0 + 3

Combine like terms: 0 + 3 = 3
2a + -5afor = 3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.