x+9=7x-51

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Solution for x+9=7x-51 equation:


Simplifying
x + 9 = 7x + -51

Reorder the terms:
9 + x = 7x + -51

Reorder the terms:
9 + x = -51 + 7x

Solving
9 + x = -51 + 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.
9 + x + -7x = -51 + 7x + -7x

Combine like terms: x + -7x = -6x
9 + -6x = -51 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -6x = -51 + 0
9 + -6x = -51

Add '-9' to each side of the equation.
9 + -9 + -6x = -51 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -51 + -9
-6x = -51 + -9

Combine like terms: -51 + -9 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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