9x-2(5-x)=45

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Solution for 9x-2(5-x)=45 equation:


Simplifying
9x + -2(5 + -1x) = 45
9x + (5 * -2 + -1x * -2) = 45
9x + (-10 + 2x) = 45

Reorder the terms:
-10 + 9x + 2x = 45

Combine like terms: 9x + 2x = 11x
-10 + 11x = 45

Solving
-10 + 11x = 45

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 11x = 45 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 45 + 10
11x = 45 + 10

Combine like terms: 45 + 10 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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