1.25(x+6)+1.25x=42.5

Solution for 1.25(x+6)+1.25x=42.5 equation:

Simplifying
1.25(x + 6) + 1.25x = 42.5

Reorder the terms:
1.25(6 + x) + 1.25x = 42.5
(6 * 1.25 + x * 1.25) + 1.25x = 42.5
(7.5 + 1.25x) + 1.25x = 42.5

Combine like terms: 1.25x + 1.25x = 2.5x
7.5 + 2.5x = 42.5

Solving
7.5 + 2.5x = 42.5

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 2.5x = 42.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 2.5x = 42.5 + -7.5
2.5x = 42.5 + -7.5

Combine like terms: 42.5 + -7.5 = 35
2.5x = 35

Divide each side by '2.5'.
x = 14

Simplifying
x = 14