6(4x-7)=37

Solution for 6(4x-7)=37 equation:

Simplifying
6(4x + -7) = 37

Reorder the terms:
6(-7 + 4x) = 37
(-7 * 6 + 4x * 6) = 37
(-42 + 24x) = 37

Solving
-42 + 24x = 37

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 24x = 37 + 42

Combine like terms: -42 + 42 = 0
0 + 24x = 37 + 42
24x = 37 + 42

Combine like terms: 37 + 42 = 79
24x = 79

Divide each side by '24'.
x = 3.291666667

Simplifying
x = 3.291666667