8400=100+x*50+x

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Solution for 8400=100+x*50+x equation:


Simplifying
8400 = 100 + x * 50 + x

Reorder the terms for easier multiplication:
8400 = 100 + 50x + x

Combine like terms: 50x + x = 51x
8400 = 100 + 51x

Solving
8400 = 100 + 51x

Solving for variable 'x'.

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

Add '-51x' to each side of the equation.
8400 + -51x = 100 + 51x + -51x

Combine like terms: 51x + -51x = 0
8400 + -51x = 100 + 0
8400 + -51x = 100

Add '-8400' to each side of the equation.
8400 + -8400 + -51x = 100 + -8400

Combine like terms: 8400 + -8400 = 0
0 + -51x = 100 + -8400
-51x = 100 + -8400

Combine like terms: 100 + -8400 = -8300
-51x = -8300

Divide each side by '-51'.
x = 162.745098

Simplifying
x = 162.745098

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