150x+200(32-x)=5100

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Solution for 150x+200(32-x)=5100 equation:


Simplifying
150x + 200(32 + -1x) = 5100
150x + (32 * 200 + -1x * 200) = 5100
150x + (6400 + -200x) = 5100

Reorder the terms:
6400 + 150x + -200x = 5100

Combine like terms: 150x + -200x = -50x
6400 + -50x = 5100

Solving
6400 + -50x = 5100

Solving for variable 'x'.

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

Add '-6400' to each side of the equation.
6400 + -6400 + -50x = 5100 + -6400

Combine like terms: 6400 + -6400 = 0
0 + -50x = 5100 + -6400
-50x = 5100 + -6400

Combine like terms: 5100 + -6400 = -1300
-50x = -1300

Divide each side by '-50'.
x = 26

Simplifying
x = 26

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