3a+2=7a-6

Solution for 3a+2=7a-6 equation:

Simplifying
3a + 2 = 7a + -6

Reorder the terms:
2 + 3a = 7a + -6

Reorder the terms:
2 + 3a = -6 + 7a

Solving
2 + 3a = -6 + 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.
2 + 3a + -7a = -6 + 7a + -7a

Combine like terms: 3a + -7a = -4a
2 + -4a = -6 + 7a + -7a

Combine like terms: 7a + -7a = 0
2 + -4a = -6 + 0
2 + -4a = -6

Add '-2' to each side of the equation.
2 + -2 + -4a = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4a = -6 + -2
-4a = -6 + -2

Combine like terms: -6 + -2 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2