.1(x+40)+.1=5

Solution for .1(x+40)+.1=5 equation:

Simplifying
0.1(x + 40) + 0.1 = 5

Reorder the terms:
0.1(40 + x) + 0.1 = 5
(40 * 0.1 + x * 0.1) + 0.1 = 5
(4 + 0.1x) + 0.1 = 5

Reorder the terms:
4 + 0.1 + 0.1x = 5

Combine like terms: 4 + 0.1 = 4.1
4.1 + 0.1x = 5

Solving
4.1 + 0.1x = 5

Solving for variable 'x'.

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

Add '-4.1' to each side of the equation.
4.1 + -4.1 + 0.1x = 5 + -4.1

Combine like terms: 4.1 + -4.1 = 0.0
0.0 + 0.1x = 5 + -4.1
0.1x = 5 + -4.1

Combine like terms: 5 + -4.1 = 0.9
0.1x = 0.9

Divide each side by '0.1'.
x = 9

Simplifying
x = 9