5(x+2)=9x-16

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


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

Reorder the terms:
5(2 + x) = 9x + -16
(2 * 5 + x * 5) = 9x + -16
(10 + 5x) = 9x + -16

Reorder the terms:
10 + 5x = -16 + 9x

Solving
10 + 5x = -16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 5x + -9x = -16 + 9x + -9x

Combine like terms: 5x + -9x = -4x
10 + -4x = -16 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -4x = -16 + 0
10 + -4x = -16

Add '-10' to each side of the equation.
10 + -10 + -4x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -16 + -10
-4x = -16 + -10

Combine like terms: -16 + -10 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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