2(2a+1)=7a

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

Simplifying
2(2a + 1) = 7a

Reorder the terms:
2(1 + 2a) = 7a
(1 * 2 + 2a * 2) = 7a
(2 + 4a) = 7a

Solving
2 + 4a = 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 + 4a + -7a = 7a + -7a

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

Combine like terms: 7a + -7a = 0
2 + -3a = 0

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

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

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

Divide each side by '-3'.
a = 0.6666666667

Simplifying
a = 0.6666666667