3x+2-7=9x+16

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Solution for 3x+2-7=9x+16 equation:


Simplifying
3x + 2 + -7 = 9x + 16

Reorder the terms:
2 + -7 + 3x = 9x + 16

Combine like terms: 2 + -7 = -5
-5 + 3x = 9x + 16

Reorder the terms:
-5 + 3x = 16 + 9x

Solving
-5 + 3x = 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.
-5 + 3x + -9x = 16 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-5 + -6x = 16 + 0
-5 + -6x = 16

Add '5' to each side of the equation.
-5 + 5 + -6x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 16 + 5
-6x = 16 + 5

Combine like terms: 16 + 5 = 21
-6x = 21

Divide each side by '-6'.
x = -3.5

Simplifying
x = -3.5

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