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Simplifying
5x2 + 8 = 508
Reorder the terms:
8 + 5x2 = 508
Solving
8 + 5x2 = 508
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 5x2 = 508 + -8
Combine like terms: 8 + -8 = 0
0 + 5x2 = 508 + -8
5x2 = 508 + -8
Combine like terms: 508 + -8 = 500
5x2 = 500
Divide each side by '5'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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