3x+47=9x-7

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Solution for 3x+47=9x-7 equation:


Simplifying
3x + 47 = 9x + -7

Reorder the terms:
47 + 3x = 9x + -7

Reorder the terms:
47 + 3x = -7 + 9x

Solving
47 + 3x = -7 + 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.
47 + 3x + -9x = -7 + 9x + -9x

Combine like terms: 3x + -9x = -6x
47 + -6x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
47 + -6x = -7 + 0
47 + -6x = -7

Add '-47' to each side of the equation.
47 + -47 + -6x = -7 + -47

Combine like terms: 47 + -47 = 0
0 + -6x = -7 + -47
-6x = -7 + -47

Combine like terms: -7 + -47 = -54
-6x = -54

Divide each side by '-6'.
x = 9

Simplifying
x = 9

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