(2x-10)+(5x-100)=360

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Solution for (2x-10)+(5x-100)=360 equation:


Simplifying
(2x + -10) + (5x + -100) = 360

Reorder the terms:
(-10 + 2x) + (5x + -100) = 360

Remove parenthesis around (-10 + 2x)
-10 + 2x + (5x + -100) = 360

Reorder the terms:
-10 + 2x + (-100 + 5x) = 360

Remove parenthesis around (-100 + 5x)
-10 + 2x + -100 + 5x = 360

Reorder the terms:
-10 + -100 + 2x + 5x = 360

Combine like terms: -10 + -100 = -110
-110 + 2x + 5x = 360

Combine like terms: 2x + 5x = 7x
-110 + 7x = 360

Solving
-110 + 7x = 360

Solving for variable 'x'.

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

Add '110' to each side of the equation.
-110 + 110 + 7x = 360 + 110

Combine like terms: -110 + 110 = 0
0 + 7x = 360 + 110
7x = 360 + 110

Combine like terms: 360 + 110 = 470
7x = 470

Divide each side by '7'.
x = 67.14285714

Simplifying
x = 67.14285714

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