0.1(x+60)+1.3x=55

Solution for 0.1(x+60)+1.3x=55 equation:

Simplifying
0.1(x + 60) + 1.3x = 55

Reorder the terms:
0.1(60 + x) + 1.3x = 55
(60 * 0.1 + x * 0.1) + 1.3x = 55
(6 + 0.1x) + 1.3x = 55

Combine like terms: 0.1x + 1.3x = 1.4x
6 + 1.4x = 55

Solving
6 + 1.4x = 55

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1.4x = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 1.4x = 55 + -6
1.4x = 55 + -6

Combine like terms: 55 + -6 = 49
1.4x = 49

Divide each side by '1.4'.
x = 35

Simplifying
x = 35