5x-16+2x-5=52

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Solution for 5x-16+2x-5=52 equation:


Simplifying
5x + -16 + 2x + -5 = 52

Reorder the terms:
-16 + -5 + 5x + 2x = 52

Combine like terms: -16 + -5 = -21
-21 + 5x + 2x = 52

Combine like terms: 5x + 2x = 7x
-21 + 7x = 52

Solving
-21 + 7x = 52

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 7x = 52 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = 52 + 21
7x = 52 + 21

Combine like terms: 52 + 21 = 73
7x = 73

Divide each side by '7'.
x = 10.42857143

Simplifying
x = 10.42857143

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