2x+16=9x-47

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Solution for 2x+16=9x-47 equation:


Simplifying
2x + 16 = 9x + -47

Reorder the terms:
16 + 2x = 9x + -47

Reorder the terms:
16 + 2x = -47 + 9x

Solving
16 + 2x = -47 + 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 + 2x + -9x = -47 + 9x + -9x

Combine like terms: 2x + -9x = -7x
16 + -7x = -47 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + -7x = -47 + 0
16 + -7x = -47

Add '-16' to each side of the equation.
16 + -16 + -7x = -47 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -47 + -16
-7x = -47 + -16

Combine like terms: -47 + -16 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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