-3+7x=5(17x+9)+x

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Solution for -3+7x=5(17x+9)+x equation:


Simplifying
-3 + 7x = 5(17x + 9) + x

Reorder the terms:
-3 + 7x = 5(9 + 17x) + x
-3 + 7x = (9 * 5 + 17x * 5) + x
-3 + 7x = (45 + 85x) + x

Combine like terms: 85x + x = 86x
-3 + 7x = 45 + 86x

Solving
-3 + 7x = 45 + 86x

Solving for variable 'x'.

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

Add '-86x' to each side of the equation.
-3 + 7x + -86x = 45 + 86x + -86x

Combine like terms: 7x + -86x = -79x
-3 + -79x = 45 + 86x + -86x

Combine like terms: 86x + -86x = 0
-3 + -79x = 45 + 0
-3 + -79x = 45

Add '3' to each side of the equation.
-3 + 3 + -79x = 45 + 3

Combine like terms: -3 + 3 = 0
0 + -79x = 45 + 3
-79x = 45 + 3

Combine like terms: 45 + 3 = 48
-79x = 48

Divide each side by '-79'.
x = -0.6075949367

Simplifying
x = -0.6075949367

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