0.45(19-x)+x=0.40(19)

Solution for 0.45(19-x)+x=0.40(19) equation:

Simplifying
0.45(19 + -1x) + x = 0.40(19)
(19 * 0.45 + -1x * 0.45) + x = 0.40(19)
(8.55 + -0.45x) + x = 0.40(19)

Combine like terms: -0.45x + x = 0.55x
8.55 + 0.55x = 0.40(19)

Multiply 0.40 * 19
8.55 + 0.55x = 7.6

Solving
8.55 + 0.55x = 7.6

Solving for variable 'x'.

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

Add '-8.55' to each side of the equation.
8.55 + -8.55 + 0.55x = 7.6 + -8.55

Combine like terms: 8.55 + -8.55 = 0.00
0.00 + 0.55x = 7.6 + -8.55
0.55x = 7.6 + -8.55

Combine like terms: 7.6 + -8.55 = -0.95
0.55x = -0.95

Divide each side by '0.55'.
x = -1.727272727

Simplifying
x = -1.727272727