6+2.50(x-1)=38.50

Solution for 6+2.50(x-1)=38.50 equation:

Simplifying
6 + 2.50(x + -1) = 38.50

Reorder the terms:
6 + 2.50(-1 + x) = 38.50
6 + (-1 * 2.50 + x * 2.50) = 38.50
6 + (-2.5 + 2.50x) = 38.50

Combine like terms: 6 + -2.5 = 3.5
3.5 + 2.50x = 38.50

Solving
3.5 + 2.50x = 38.50

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 2.50x = 38.50 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 2.50x = 38.50 + -3.5
2.50x = 38.50 + -3.5

Combine like terms: 38.50 + -3.5 = 35
2.50x = 35

Divide each side by '2.50'.
x = 14

Simplifying
x = 14