45(x-20)+60(x-55)=0

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Solution for 45(x-20)+60(x-55)=0 equation:


Simplifying
45(x + -20) + 60(x + -55) = 0

Reorder the terms:
45(-20 + x) + 60(x + -55) = 0
(-20 * 45 + x * 45) + 60(x + -55) = 0
(-900 + 45x) + 60(x + -55) = 0

Reorder the terms:
-900 + 45x + 60(-55 + x) = 0
-900 + 45x + (-55 * 60 + x * 60) = 0
-900 + 45x + (-3300 + 60x) = 0

Reorder the terms:
-900 + -3300 + 45x + 60x = 0

Combine like terms: -900 + -3300 = -4200
-4200 + 45x + 60x = 0

Combine like terms: 45x + 60x = 105x
-4200 + 105x = 0

Solving
-4200 + 105x = 0

Solving for variable 'x'.

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

Add '4200' to each side of the equation.
-4200 + 4200 + 105x = 0 + 4200

Combine like terms: -4200 + 4200 = 0
0 + 105x = 0 + 4200
105x = 0 + 4200

Combine like terms: 0 + 4200 = 4200
105x = 4200

Divide each side by '105'.
x = 40

Simplifying
x = 40

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