9(x-5)=2x-24

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Solution for 9(x-5)=2x-24 equation:


Simplifying
9(x + -5) = 2x + -24

Reorder the terms:
9(-5 + x) = 2x + -24
(-5 * 9 + x * 9) = 2x + -24
(-45 + 9x) = 2x + -24

Reorder the terms:
-45 + 9x = -24 + 2x

Solving
-45 + 9x = -24 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-45 + 9x + -2x = -24 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-45 + 7x = -24 + 2x + -2x

Combine like terms: 2x + -2x = 0
-45 + 7x = -24 + 0
-45 + 7x = -24

Add '45' to each side of the equation.
-45 + 45 + 7x = -24 + 45

Combine like terms: -45 + 45 = 0
0 + 7x = -24 + 45
7x = -24 + 45

Combine like terms: -24 + 45 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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