2x+9=5(x-8)

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Solution for 2x+9=5(x-8) equation:


Simplifying
2x + 9 = 5(x + -8)

Reorder the terms:
9 + 2x = 5(x + -8)

Reorder the terms:
9 + 2x = 5(-8 + x)
9 + 2x = (-8 * 5 + x * 5)
9 + 2x = (-40 + 5x)

Solving
9 + 2x = -40 + 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 = -40 + 5x + -5x

Combine like terms: 2x + -5x = -3x
9 + -3x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -3x = -40 + 0
9 + -3x = -40

Add '-9' to each side of the equation.
9 + -9 + -3x = -40 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -40 + -9
-3x = -40 + -9

Combine like terms: -40 + -9 = -49
-3x = -49

Divide each side by '-3'.
x = 16.33333333

Simplifying
x = 16.33333333

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