5.2(2a-1)=7a+14.6

Solution for 5.2(2a-1)=7a+14.6 equation:

Simplifying
5.2(2a + -1) = 7a + 14.6

Reorder the terms:
5.2(-1 + 2a) = 7a + 14.6
(-1 * 5.2 + 2a * 5.2) = 7a + 14.6
(-5.2 + 10.4a) = 7a + 14.6

Reorder the terms:
-5.2 + 10.4a = 14.6 + 7a

Solving
-5.2 + 10.4a = 14.6 + 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.
-5.2 + 10.4a + -7a = 14.6 + 7a + -7a

Combine like terms: 10.4a + -7a = 3.4a
-5.2 + 3.4a = 14.6 + 7a + -7a

Combine like terms: 7a + -7a = 0
-5.2 + 3.4a = 14.6 + 0
-5.2 + 3.4a = 14.6

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 3.4a = 14.6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 3.4a = 14.6 + 5.2
3.4a = 14.6 + 5.2

Combine like terms: 14.6 + 5.2 = 19.8
3.4a = 19.8

Divide each side by '3.4'.
a = 5.823529412

Simplifying
a = 5.823529412