5(7x+1)=285

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Solution for 5(7x+1)=285 equation: 


Simplifying
5(7x + 1) = 285

Reorder the terms:
5(1 + 7x) = 285
(1 * 5 + 7x * 5) = 285
(5 + 35x) = 285

Solving
5 + 35x = 285

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 35x = 285 + -5

Combine like terms: 5 + -5 = 0
0 + 35x = 285 + -5
35x = 285 + -5

Combine like terms: 285 + -5 = 280
35x = 280

Divide each side by '35'.
x = 8

Simplifying
x = 8

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