6=.75(x-4)

Solution for 6=.75(x-4) equation:

Simplifying
6 = 0.75(x + -4)

Reorder the terms:
6 = 0.75(-4 + x)
6 = (-4 * 0.75 + x * 0.75)
6 = (-3 + 0.75x)

Solving
6 = -3 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
6 + -0.75x = -3 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
6 + -0.75x = -3 + 0.00
6 + -0.75x = -3

Add '-6' to each side of the equation.
6 + -6 + -0.75x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -0.75x = -3 + -6
-0.75x = -3 + -6

Combine like terms: -3 + -6 = -9
-0.75x = -9

Divide each side by '-0.75'.
x = 12

Simplifying
x = 12