5x-7(x-6)=37

Solution for 5x-7(x-6)=37 equation:

Simplifying
5x + -7(x + -6) = 37

Reorder the terms:
5x + -7(-6 + x) = 37
5x + (-6 * -7 + x * -7) = 37
5x + (42 + -7x) = 37

Reorder the terms:
42 + 5x + -7x = 37

Combine like terms: 5x + -7x = -2x
42 + -2x = 37

Solving
42 + -2x = 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 + -2x = 37 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 37 + -42
-2x = 37 + -42

Combine like terms: 37 + -42 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5