37x+6=6(6x+8)

Solution for 37x+6=6(6x+8) equation:

Simplifying
37x + 6 = 6(6x + 8)

Reorder the terms:
6 + 37x = 6(6x + 8)

Reorder the terms:
6 + 37x = 6(8 + 6x)
6 + 37x = (8 * 6 + 6x * 6)
6 + 37x = (48 + 36x)

Solving
6 + 37x = 48 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
6 + 37x + -36x = 48 + 36x + -36x

Combine like terms: 37x + -36x = 1x
6 + 1x = 48 + 36x + -36x

Combine like terms: 36x + -36x = 0
6 + 1x = 48 + 0
6 + 1x = 48

Add '-6' to each side of the equation.
6 + -6 + 1x = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 48 + -6
1x = 48 + -6

Combine like terms: 48 + -6 = 42
1x = 42

Divide each side by '1'.
x = 42

Simplifying
x = 42