5x+16=3(x+9)

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Solution for 5x+16=3(x+9) equation: 


Simplifying
5x + 16 = 3(x + 9)

Reorder the terms:
16 + 5x = 3(x + 9)

Reorder the terms:
16 + 5x = 3(9 + x)
16 + 5x = (9 * 3 + x * 3)
16 + 5x = (27 + 3x)

Solving
16 + 5x = 27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 5x + -3x = 27 + 3x + -3x

Combine like terms: 5x + -3x = 2x
16 + 2x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 2x = 27 + 0
16 + 2x = 27

Add '-16' to each side of the equation.
16 + -16 + 2x = 27 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 27 + -16
2x = 27 + -16

Combine like terms: 27 + -16 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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