3x+6x+4=2x+5x+16

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Solution for 3x+6x+4=2x+5x+16 equation:


Simplifying
3x + 6x + 4 = 2x + 5x + 16

Reorder the terms:
4 + 3x + 6x = 2x + 5x + 16

Combine like terms: 3x + 6x = 9x
4 + 9x = 2x + 5x + 16

Reorder the terms:
4 + 9x = 16 + 2x + 5x

Combine like terms: 2x + 5x = 7x
4 + 9x = 16 + 7x

Solving
4 + 9x = 16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 9x + -7x = 16 + 7x + -7x

Combine like terms: 9x + -7x = 2x
4 + 2x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 2x = 16 + 0
4 + 2x = 16

Add '-4' to each side of the equation.
4 + -4 + 2x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 16 + -4
2x = 16 + -4

Combine like terms: 16 + -4 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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