3x+5=9x-53

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Solution for 3x+5=9x-53 equation:


Simplifying
3x + 5 = 9x + -53

Reorder the terms:
5 + 3x = 9x + -53

Reorder the terms:
5 + 3x = -53 + 9x

Solving
5 + 3x = -53 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + 3x + -9x = -53 + 9x + -9x

Combine like terms: 3x + -9x = -6x
5 + -6x = -53 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -6x = -53 + 0
5 + -6x = -53

Add '-5' to each side of the equation.
5 + -5 + -6x = -53 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -53 + -5
-6x = -53 + -5

Combine like terms: -53 + -5 = -58
-6x = -58

Divide each side by '-6'.
x = 9.666666667

Simplifying
x = 9.666666667

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