(x*15)+28=(x*5)+218

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Solution for (x*15)+28=(x*5)+218 equation:


Simplifying
(x * 15) + 28 = (x * 5) + 218

Reorder the terms for easier multiplication:
(15x) + 28 = (x * 5) + 218

Reorder the terms:
28 + (15x) = (x * 5) + 218

Reorder the terms for easier multiplication:
28 + (15x) = (5x) + 218

Reorder the terms:
28 + (15x) = 218 + (5x)

Solving
28 + (15x) = 218 + (5x)

Solving for variable 'x'.

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

Add '(-5x)' to each side of the equation.
28 + (15x) + (-5x) = 218 + (5x) + (-5x)

Combine like terms: (15x) + (-5x) = 10x
28 + 10x = 218 + (5x) + (-5x)

Combine like terms: (5x) + (-5x) = 0
28 + 10x = 218 + 0
28 + 10x = 218

Add '-28' to each side of the equation.
28 + -28 + 10x = 218 + -28

Combine like terms: 28 + -28 = 0
0 + 10x = 218 + -28
10x = 218 + -28

Combine like terms: 218 + -28 = 190
10x = 190

Divide each side by '10'.
x = 19

Simplifying
x = 19

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