100x+50(x+54)+20*3x=8160

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Solution for 100x+50(x+54)+20*3x=8160 equation:


Simplifying
100x + 50(x + 54) + 20 * 3x = 8160

Reorder the terms:
100x + 50(54 + x) + 20 * 3x = 8160
100x + (54 * 50 + x * 50) + 20 * 3x = 8160
100x + (2700 + 50x) + 20 * 3x = 8160

Multiply 20 * 3
100x + 2700 + 50x + 60x = 8160

Reorder the terms:
2700 + 100x + 50x + 60x = 8160

Combine like terms: 100x + 50x = 150x
2700 + 150x + 60x = 8160

Combine like terms: 150x + 60x = 210x
2700 + 210x = 8160

Solving
2700 + 210x = 8160

Solving for variable 'x'.

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

Add '-2700' to each side of the equation.
2700 + -2700 + 210x = 8160 + -2700

Combine like terms: 2700 + -2700 = 0
0 + 210x = 8160 + -2700
210x = 8160 + -2700

Combine like terms: 8160 + -2700 = 5460
210x = 5460

Divide each side by '210'.
x = 26

Simplifying
x = 26

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