2x-9=5(x+9)

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


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

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

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

Solving
-9 + 2x = 45 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 2x + -5x = 45 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-9 + -3x = 45 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -3x = 45 + 0
-9 + -3x = 45

Add '9' to each side of the equation.
-9 + 9 + -3x = 45 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 45 + 9
-3x = 45 + 9

Combine like terms: 45 + 9 = 54
-3x = 54

Divide each side by '-3'.
x = -18

Simplifying
x = -18

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