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

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

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

Reorder the terms:
37 + 4a = 5a + 5(1 + 3a)
37 + 4a = 5a + (1 * 5 + 3a * 5)
37 + 4a = 5a + (5 + 15a)

Reorder the terms:
37 + 4a = 5 + 5a + 15a

Combine like terms: 5a + 15a = 20a
37 + 4a = 5 + 20a

Solving
37 + 4a = 5 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
37 + 4a + -20a = 5 + 20a + -20a

Combine like terms: 4a + -20a = -16a
37 + -16a = 5 + 20a + -20a

Combine like terms: 20a + -20a = 0
37 + -16a = 5 + 0
37 + -16a = 5

Add '-37' to each side of the equation.
37 + -37 + -16a = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -16a = 5 + -37
-16a = 5 + -37

Combine like terms: 5 + -37 = -32
-16a = -32

Divide each side by '-16'.
a = 2

Simplifying
a = 2