2x+11=71-8x

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Solution for 2x+11=71-8x equation:


Simplifying
2x + 11 = 71 + -8x

Reorder the terms:
11 + 2x = 71 + -8x

Solving
11 + 2x = 71 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
11 + 2x + 8x = 71 + -8x + 8x

Combine like terms: 2x + 8x = 10x
11 + 10x = 71 + -8x + 8x

Combine like terms: -8x + 8x = 0
11 + 10x = 71 + 0
11 + 10x = 71

Add '-11' to each side of the equation.
11 + -11 + 10x = 71 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 71 + -11
10x = 71 + -11

Combine like terms: 71 + -11 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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