3(4x+6)=9x+16

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Solution for 3(4x+6)=9x+16 equation:


Simplifying
3(4x + 6) = 9x + 16

Reorder the terms:
3(6 + 4x) = 9x + 16
(6 * 3 + 4x * 3) = 9x + 16
(18 + 12x) = 9x + 16

Reorder the terms:
18 + 12x = 16 + 9x

Solving
18 + 12x = 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.
18 + 12x + -9x = 16 + 9x + -9x

Combine like terms: 12x + -9x = 3x
18 + 3x = 16 + 9x + -9x

Combine like terms: 9x + -9x = 0
18 + 3x = 16 + 0
18 + 3x = 16

Add '-18' to each side of the equation.
18 + -18 + 3x = 16 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 16 + -18
3x = 16 + -18

Combine like terms: 16 + -18 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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