7x+6=86-3x

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Solution for 7x+6=86-3x equation:


Simplifying
7x + 6 = 86 + -3x

Reorder the terms:
6 + 7x = 86 + -3x

Solving
6 + 7x = 86 + -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.
6 + 7x + 3x = 86 + -3x + 3x

Combine like terms: 7x + 3x = 10x
6 + 10x = 86 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 10x = 86 + 0
6 + 10x = 86

Add '-6' to each side of the equation.
6 + -6 + 10x = 86 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 86 + -6
10x = 86 + -6

Combine like terms: 86 + -6 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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