6x+2=47-x

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Solution for 6x+2=47-x equation:


Simplifying
6x + 2 = 47 + -1x

Reorder the terms:
2 + 6x = 47 + -1x

Solving
2 + 6x = 47 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 6x + x = 47 + -1x + x

Combine like terms: 6x + x = 7x
2 + 7x = 47 + -1x + x

Combine like terms: -1x + x = 0
2 + 7x = 47 + 0
2 + 7x = 47

Add '-2' to each side of the equation.
2 + -2 + 7x = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 47 + -2
7x = 47 + -2

Combine like terms: 47 + -2 = 45
7x = 45

Divide each side by '7'.
x = 6.428571429

Simplifying
x = 6.428571429

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