2(5+2a)-3(a-4)=29

Solution for 2(5+2a)-3(a-4)=29 equation:

Simplifying
2(5 + 2a) + -3(a + -4) = 29
(5 * 2 + 2a * 2) + -3(a + -4) = 29
(10 + 4a) + -3(a + -4) = 29

Reorder the terms:
10 + 4a + -3(-4 + a) = 29
10 + 4a + (-4 * -3 + a * -3) = 29
10 + 4a + (12 + -3a) = 29

Reorder the terms:
10 + 12 + 4a + -3a = 29

Combine like terms: 10 + 12 = 22
22 + 4a + -3a = 29

Combine like terms: 4a + -3a = 1a
22 + 1a = 29

Solving
22 + 1a = 29

Solving for variable 'a'.

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

Add '-22' to each side of the equation.
22 + -22 + 1a = 29 + -22

Combine like terms: 22 + -22 = 0
0 + 1a = 29 + -22
1a = 29 + -22

Combine like terms: 29 + -22 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7