3x+53=9x-13

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Solution for 3x+53=9x-13 equation:


Simplifying
3x + 53 = 9x + -13

Reorder the terms:
53 + 3x = 9x + -13

Reorder the terms:
53 + 3x = -13 + 9x

Solving
53 + 3x = -13 + 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.
53 + 3x + -9x = -13 + 9x + -9x

Combine like terms: 3x + -9x = -6x
53 + -6x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
53 + -6x = -13 + 0
53 + -6x = -13

Add '-53' to each side of the equation.
53 + -53 + -6x = -13 + -53

Combine like terms: 53 + -53 = 0
0 + -6x = -13 + -53
-6x = -13 + -53

Combine like terms: -13 + -53 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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