3x+10=82-5x

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Solution for 3x+10=82-5x equation:


Simplifying
3x + 10 = 82 + -5x

Reorder the terms:
10 + 3x = 82 + -5x

Solving
10 + 3x = 82 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + 3x + 5x = 82 + -5x + 5x

Combine like terms: 3x + 5x = 8x
10 + 8x = 82 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 8x = 82 + 0
10 + 8x = 82

Add '-10' to each side of the equation.
10 + -10 + 8x = 82 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 82 + -10
8x = 82 + -10

Combine like terms: 82 + -10 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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