2-9(x-5)=-16

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Solution for 2-9(x-5)=-16 equation: 


Simplifying
2 + -9(x + -5) = -16

Reorder the terms:
2 + -9(-5 + x) = -16
2 + (-5 * -9 + x * -9) = -16
2 + (45 + -9x) = -16

Combine like terms: 2 + 45 = 47
47 + -9x = -16

Solving
47 + -9x = -16

Solving for variable 'x'.

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

Add '-47' to each side of the equation.
47 + -47 + -9x = -16 + -47

Combine like terms: 47 + -47 = 0
0 + -9x = -16 + -47
-9x = -16 + -47

Combine like terms: -16 + -47 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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