3x+5=85-7x

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Solution for 3x+5=85-7x equation:


Simplifying
3x + 5 = 85 + -7x

Reorder the terms:
5 + 3x = 85 + -7x

Solving
5 + 3x = 85 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
5 + 3x + 7x = 85 + -7x + 7x

Combine like terms: 3x + 7x = 10x
5 + 10x = 85 + -7x + 7x

Combine like terms: -7x + 7x = 0
5 + 10x = 85 + 0
5 + 10x = 85

Add '-5' to each side of the equation.
5 + -5 + 10x = 85 + -5

Combine like terms: 5 + -5 = 0
0 + 10x = 85 + -5
10x = 85 + -5

Combine like terms: 85 + -5 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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