7.5x+7.5(x+38.6)=465

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Solution for 7.5x+7.5(x+38.6)=465 equation: 


Simplifying
7.5x + 7.5(x + 38.6) = 465

Reorder the terms:
7.5x + 7.5(38.6 + x) = 465
7.5x + (38.6 * 7.5 + x * 7.5) = 465
7.5x + (289.5 + 7.5x) = 465

Reorder the terms:
289.5 + 7.5x + 7.5x = 465

Combine like terms: 7.5x + 7.5x = 15x
289.5 + 15x = 465

Solving
289.5 + 15x = 465

Solving for variable 'x'.

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

Add '-289.5' to each side of the equation.
289.5 + -289.5 + 15x = 465 + -289.5

Combine like terms: 289.5 + -289.5 = 0.0
0.0 + 15x = 465 + -289.5
15x = 465 + -289.5

Combine like terms: 465 + -289.5 = 175.5
15x = 175.5

Divide each side by '15'.
x = 11.7

Simplifying
x = 11.7

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