-37=5(1+4a)-3(a-3)

Solution for -37=5(1+4a)-3(a-3) equation:

Simplifying
-37 = 5(1 + 4a) + -3(a + -3)
-37 = (1 * 5 + 4a * 5) + -3(a + -3)
-37 = (5 + 20a) + -3(a + -3)

Reorder the terms:
-37 = 5 + 20a + -3(-3 + a)
-37 = 5 + 20a + (-3 * -3 + a * -3)
-37 = 5 + 20a + (9 + -3a)

Reorder the terms:
-37 = 5 + 9 + 20a + -3a

Combine like terms: 5 + 9 = 14
-37 = 14 + 20a + -3a

Combine like terms: 20a + -3a = 17a
-37 = 14 + 17a

Solving
-37 = 14 + 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
-37 + -17a = 14 + 17a + -17a

Combine like terms: 17a + -17a = 0
-37 + -17a = 14 + 0
-37 + -17a = 14

Add '37' to each side of the equation.
-37 + 37 + -17a = 14 + 37

Combine like terms: -37 + 37 = 0
0 + -17a = 14 + 37
-17a = 14 + 37

Combine like terms: 14 + 37 = 51
-17a = 51

Divide each side by '-17'.
a = -3

Simplifying
a = -3