3a+6=10a-4

Solution for 3a+6=10a-4 equation:

Simplifying
3a + 6 = 10a + -4

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

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

Solving
6 + 3a = -4 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
6 + 3a + -10a = -4 + 10a + -10a

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

Combine like terms: 10a + -10a = 0
6 + -7a = -4 + 0
6 + -7a = -4

Add '-6' to each side of the equation.
6 + -6 + -7a = -4 + -6

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

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

Divide each side by '-7'.
a = 1.428571429

Simplifying
a = 1.428571429