1.5(x-4)=7.5

Solution for 1.5(x-4)=7.5 equation:

Simplifying
1.5(x + -4) = 7.5

Reorder the terms:
1.5(-4 + x) = 7.5
(-4 * 1.5 + x * 1.5) = 7.5
(-6 + 1.5x) = 7.5

Solving
-6 + 1.5x = 7.5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 1.5x = 7.5 + 6

Combine like terms: -6 + 6 = 0
0 + 1.5x = 7.5 + 6
1.5x = 7.5 + 6

Combine like terms: 7.5 + 6 = 13.5
1.5x = 13.5

Divide each side by '1.5'.
x = 9

Simplifying
x = 9