5(15x-25)+15(35x-55)+50(45x+75)=11350

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Solution for 5(15x-25)+15(35x-55)+50(45x+75)=11350 equation: 


Simplifying
5(15x + -25) + 15(35x + -55) + 50(45x + 75) = 11350

Reorder the terms:
5(-25 + 15x) + 15(35x + -55) + 50(45x + 75) = 11350
(-25 * 5 + 15x * 5) + 15(35x + -55) + 50(45x + 75) = 11350
(-125 + 75x) + 15(35x + -55) + 50(45x + 75) = 11350

Reorder the terms:
-125 + 75x + 15(-55 + 35x) + 50(45x + 75) = 11350
-125 + 75x + (-55 * 15 + 35x * 15) + 50(45x + 75) = 11350
-125 + 75x + (-825 + 525x) + 50(45x + 75) = 11350

Reorder the terms:
-125 + 75x + -825 + 525x + 50(75 + 45x) = 11350
-125 + 75x + -825 + 525x + (75 * 50 + 45x * 50) = 11350
-125 + 75x + -825 + 525x + (3750 + 2250x) = 11350

Reorder the terms:
-125 + -825 + 3750 + 75x + 525x + 2250x = 11350

Combine like terms: -125 + -825 = -950
-950 + 3750 + 75x + 525x + 2250x = 11350

Combine like terms: -950 + 3750 = 2800
2800 + 75x + 525x + 2250x = 11350

Combine like terms: 75x + 525x = 600x
2800 + 600x + 2250x = 11350

Combine like terms: 600x + 2250x = 2850x
2800 + 2850x = 11350

Solving
2800 + 2850x = 11350

Solving for variable 'x'.

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

Add '-2800' to each side of the equation.
2800 + -2800 + 2850x = 11350 + -2800

Combine like terms: 2800 + -2800 = 0
0 + 2850x = 11350 + -2800
2850x = 11350 + -2800

Combine like terms: 11350 + -2800 = 8550
2850x = 8550

Divide each side by '2850'.
x = 3

Simplifying
x = 3

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