100x+50(x+48)+20(4x)=7460

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Solution for 100x+50(x+48)+20(4x)=7460 equation:


Simplifying
100x + 50(x + 48) + 20(4x) = 7460

Reorder the terms:
100x + 50(48 + x) + 20(4x) = 7460
100x + (48 * 50 + x * 50) + 20(4x) = 7460
100x + (2400 + 50x) + 20(4x) = 7460

Remove parenthesis around (4x)
100x + 2400 + 50x + 20 * 4x = 7460

Multiply 20 * 4
100x + 2400 + 50x + 80x = 7460

Reorder the terms:
2400 + 100x + 50x + 80x = 7460

Combine like terms: 100x + 50x = 150x
2400 + 150x + 80x = 7460

Combine like terms: 150x + 80x = 230x
2400 + 230x = 7460

Solving
2400 + 230x = 7460

Solving for variable 'x'.

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

Add '-2400' to each side of the equation.
2400 + -2400 + 230x = 7460 + -2400

Combine like terms: 2400 + -2400 = 0
0 + 230x = 7460 + -2400
230x = 7460 + -2400

Combine like terms: 7460 + -2400 = 5060
230x = 5060

Divide each side by '230'.
x = 22

Simplifying
x = 22

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