2(3a-7)=5a-6

Solution for 2(3a-7)=5a-6 equation:

Simplifying
2(3a + -7) = 5a + -6

Reorder the terms:
2(-7 + 3a) = 5a + -6
(-7 * 2 + 3a * 2) = 5a + -6
(-14 + 6a) = 5a + -6

Reorder the terms:
-14 + 6a = -6 + 5a

Solving
-14 + 6a = -6 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-14 + 6a + -5a = -6 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-14 + 1a = -6 + 5a + -5a

Combine like terms: 5a + -5a = 0
-14 + 1a = -6 + 0
-14 + 1a = -6

Add '14' to each side of the equation.
-14 + 14 + 1a = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 1a = -6 + 14
1a = -6 + 14

Combine like terms: -6 + 14 = 8
1a = 8

Divide each side by '1'.
a = 8

Simplifying
a = 8