2(3x+5)+6=9x+4

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Solution for 2(3x+5)+6=9x+4 equation: 


Simplifying
2(3x + 5) + 6 = 9x + 4

Reorder the terms:
2(5 + 3x) + 6 = 9x + 4
(5 * 2 + 3x * 2) + 6 = 9x + 4
(10 + 6x) + 6 = 9x + 4

Reorder the terms:
10 + 6 + 6x = 9x + 4

Combine like terms: 10 + 6 = 16
16 + 6x = 9x + 4

Reorder the terms:
16 + 6x = 4 + 9x

Solving
16 + 6x = 4 + 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.
16 + 6x + -9x = 4 + 9x + -9x

Combine like terms: 6x + -9x = -3x
16 + -3x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + -3x = 4 + 0
16 + -3x = 4

Add '-16' to each side of the equation.
16 + -16 + -3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 4 + -16
-3x = 4 + -16

Combine like terms: 4 + -16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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