3x+8=71-6x

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Solution for 3x+8=71-6x equation:


Simplifying
3x + 8 = 71 + -6x

Reorder the terms:
8 + 3x = 71 + -6x

Solving
8 + 3x = 71 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + 3x + 6x = 71 + -6x + 6x

Combine like terms: 3x + 6x = 9x
8 + 9x = 71 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 9x = 71 + 0
8 + 9x = 71

Add '-8' to each side of the equation.
8 + -8 + 9x = 71 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 71 + -8
9x = 71 + -8

Combine like terms: 71 + -8 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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