2(5a+10)-3(2a+1)+4(a+5)=

Solution for 2(5a+10)-3(2a+1)+4(a+5)= equation:

Simplifying
2(5a + 10) + -3(2a + 1) + 4(a + 5) = 0

Reorder the terms:
2(10 + 5a) + -3(2a + 1) + 4(a + 5) = 0
(10 * 2 + 5a * 2) + -3(2a + 1) + 4(a + 5) = 0
(20 + 10a) + -3(2a + 1) + 4(a + 5) = 0

Reorder the terms:
20 + 10a + -3(1 + 2a) + 4(a + 5) = 0
20 + 10a + (1 * -3 + 2a * -3) + 4(a + 5) = 0
20 + 10a + (-3 + -6a) + 4(a + 5) = 0

Reorder the terms:
20 + 10a + -3 + -6a + 4(5 + a) = 0
20 + 10a + -3 + -6a + (5 * 4 + a * 4) = 0
20 + 10a + -3 + -6a + (20 + 4a) = 0

Reorder the terms:
20 + -3 + 20 + 10a + -6a + 4a = 0

Combine like terms: 20 + -3 = 17
17 + 20 + 10a + -6a + 4a = 0

Combine like terms: 17 + 20 = 37
37 + 10a + -6a + 4a = 0

Combine like terms: 10a + -6a = 4a
37 + 4a + 4a = 0

Combine like terms: 4a + 4a = 8a
37 + 8a = 0

Solving
37 + 8a = 0

Solving for variable 'a'.

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

Add '-37' to each side of the equation.
37 + -37 + 8a = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 8a = 0 + -37
8a = 0 + -37

Combine like terms: 0 + -37 = -37
8a = -37

Divide each side by '8'.
a = -4.625

Simplifying
a = -4.625