6x+9=71-10x

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Solution for 6x+9=71-10x equation:


Simplifying
6x + 9 = 71 + -10x

Reorder the terms:
9 + 6x = 71 + -10x

Solving
9 + 6x = 71 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
9 + 6x + 10x = 71 + -10x + 10x

Combine like terms: 6x + 10x = 16x
9 + 16x = 71 + -10x + 10x

Combine like terms: -10x + 10x = 0
9 + 16x = 71 + 0
9 + 16x = 71

Add '-9' to each side of the equation.
9 + -9 + 16x = 71 + -9

Combine like terms: 9 + -9 = 0
0 + 16x = 71 + -9
16x = 71 + -9

Combine like terms: 71 + -9 = 62
16x = 62

Divide each side by '16'.
x = 3.875

Simplifying
x = 3.875

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