0.22(x+30)+0.25(x+15)=-10.8

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Solution for 0.22(x+30)+0.25(x+15)=-10.8 equation: 


Simplifying
0.22(x + 30) + 0.25(x + 15) = -10.8

Reorder the terms:
0.22(30 + x) + 0.25(x + 15) = -10.8
(30 * 0.22 + x * 0.22) + 0.25(x + 15) = -10.8
(6.6 + 0.22x) + 0.25(x + 15) = -10.8

Reorder the terms:
6.6 + 0.22x + 0.25(15 + x) = -10.8
6.6 + 0.22x + (15 * 0.25 + x * 0.25) = -10.8
6.6 + 0.22x + (3.75 + 0.25x) = -10.8

Reorder the terms:
6.6 + 3.75 + 0.22x + 0.25x = -10.8

Combine like terms: 6.6 + 3.75 = 10.35
10.35 + 0.22x + 0.25x = -10.8

Combine like terms: 0.22x + 0.25x = 0.47x
10.35 + 0.47x = -10.8

Solving
10.35 + 0.47x = -10.8

Solving for variable 'x'.

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

Add '-10.35' to each side of the equation.
10.35 + -10.35 + 0.47x = -10.8 + -10.35

Combine like terms: 10.35 + -10.35 = 0.00
0.00 + 0.47x = -10.8 + -10.35
0.47x = -10.8 + -10.35

Combine like terms: -10.8 + -10.35 = -21.15
0.47x = -21.15

Divide each side by '0.47'.
x = -45

Simplifying
x = -45

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