2x+16=9x-61

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Solution for 2x+16=9x-61 equation:


Simplifying
2x + 16 = 9x + -61

Reorder the terms:
16 + 2x = 9x + -61

Reorder the terms:
16 + 2x = -61 + 9x

Solving
16 + 2x = -61 + 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 = -61 + 9x + -9x

Combine like terms: 2x + -9x = -7x
16 + -7x = -61 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + -7x = -61 + 0
16 + -7x = -61

Add '-16' to each side of the equation.
16 + -16 + -7x = -61 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -61 + -16
-7x = -61 + -16

Combine like terms: -61 + -16 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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