0.1(x+10)+1.1x=37

Solution for 0.1(x+10)+1.1x=37 equation:

Simplifying
0.1(x + 10) + 1.1x = 37

Reorder the terms:
0.1(10 + x) + 1.1x = 37
(10 * 0.1 + x * 0.1) + 1.1x = 37
(1 + 0.1x) + 1.1x = 37

Combine like terms: 0.1x + 1.1x = 1.2x
1 + 1.2x = 37

Solving
1 + 1.2x = 37

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1.2x = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 1.2x = 37 + -1
1.2x = 37 + -1

Combine like terms: 37 + -1 = 36
1.2x = 36

Divide each side by '1.2'.
x = 30

Simplifying
x = 30