15x+20(x-5)=415

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Solution for 15x+20(x-5)=415 equation:


Simplifying
15x + 20(x + -5) = 415

Reorder the terms:
15x + 20(-5 + x) = 415
15x + (-5 * 20 + x * 20) = 415
15x + (-100 + 20x) = 415

Reorder the terms:
-100 + 15x + 20x = 415

Combine like terms: 15x + 20x = 35x
-100 + 35x = 415

Solving
-100 + 35x = 415

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 35x = 415 + 100

Combine like terms: -100 + 100 = 0
0 + 35x = 415 + 100
35x = 415 + 100

Combine like terms: 415 + 100 = 515
35x = 515

Divide each side by '35'.
x = 14.71428571

Simplifying
x = 14.71428571

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