3x-5=12x-47

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Solution for 3x-5=12x-47 equation:


Simplifying
3x + -5 = 12x + -47

Reorder the terms:
-5 + 3x = 12x + -47

Reorder the terms:
-5 + 3x = -47 + 12x

Solving
-5 + 3x = -47 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-5 + 3x + -12x = -47 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-5 + -9x = -47 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -9x = -47 + 0
-5 + -9x = -47

Add '5' to each side of the equation.
-5 + 5 + -9x = -47 + 5

Combine like terms: -5 + 5 = 0
0 + -9x = -47 + 5
-9x = -47 + 5

Combine like terms: -47 + 5 = -42
-9x = -42

Divide each side by '-9'.
x = 4.666666667

Simplifying
x = 4.666666667

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