100(x-3)=450-50x

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Solution for 100(x-3)=450-50x equation:


Simplifying
100(x + -3) = 450 + -50x

Reorder the terms:
100(-3 + x) = 450 + -50x
(-3 * 100 + x * 100) = 450 + -50x
(-300 + 100x) = 450 + -50x

Solving
-300 + 100x = 450 + -50x

Solving for variable 'x'.

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

Add '50x' to each side of the equation.
-300 + 100x + 50x = 450 + -50x + 50x

Combine like terms: 100x + 50x = 150x
-300 + 150x = 450 + -50x + 50x

Combine like terms: -50x + 50x = 0
-300 + 150x = 450 + 0
-300 + 150x = 450

Add '300' to each side of the equation.
-300 + 300 + 150x = 450 + 300

Combine like terms: -300 + 300 = 0
0 + 150x = 450 + 300
150x = 450 + 300

Combine like terms: 450 + 300 = 750
150x = 750

Divide each side by '150'.
x = 5

Simplifying
x = 5

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