75x+45(289-x)=17895

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Solution for 75x+45(289-x)=17895 equation:


Simplifying
75x + 45(289 + -1x) = 17895
75x + (289 * 45 + -1x * 45) = 17895
75x + (13005 + -45x) = 17895

Reorder the terms:
13005 + 75x + -45x = 17895

Combine like terms: 75x + -45x = 30x
13005 + 30x = 17895

Solving
13005 + 30x = 17895

Solving for variable 'x'.

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

Add '-13005' to each side of the equation.
13005 + -13005 + 30x = 17895 + -13005

Combine like terms: 13005 + -13005 = 0
0 + 30x = 17895 + -13005
30x = 17895 + -13005

Combine like terms: 17895 + -13005 = 4890
30x = 4890

Divide each side by '30'.
x = 163

Simplifying
x = 163

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