6x+10=82-3x

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Solution for 6x+10=82-3x equation:


Simplifying
6x + 10 = 82 + -3x

Reorder the terms:
10 + 6x = 82 + -3x

Solving
10 + 6x = 82 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 6x + 3x = 82 + -3x + 3x

Combine like terms: 6x + 3x = 9x
10 + 9x = 82 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 9x = 82 + 0
10 + 9x = 82

Add '-10' to each side of the equation.
10 + -10 + 9x = 82 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 82 + -10
9x = 82 + -10

Combine like terms: 82 + -10 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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