0.1(x+90)+1.0x=10

Solution for 0.1(x+90)+1.0x=10 equation:

Simplifying
0.1(x + 90) + 1.0x = 10

Reorder the terms:
0.1(90 + x) + 1.0x = 10
(90 * 0.1 + x * 0.1) + 1.0x = 10
(9 + 0.1x) + 1.0x = 10

Combine like terms: 0.1x + 1.0x = 1.1x
9 + 1.1x = 10

Solving
9 + 1.1x = 10

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1.1x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 1.1x = 10 + -9
1.1x = 10 + -9

Combine like terms: 10 + -9 = 1
1.1x = 1

Divide each side by '1.1'.
x = 0.9090909091

Simplifying
x = 0.9090909091