2x+13=53x-2

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Solution for 2x+13=53x-2 equation:


Simplifying
2x + 13 = 53x + -2

Reorder the terms:
13 + 2x = 53x + -2

Reorder the terms:
13 + 2x = -2 + 53x

Solving
13 + 2x = -2 + 53x

Solving for variable 'x'.

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

Add '-53x' to each side of the equation.
13 + 2x + -53x = -2 + 53x + -53x

Combine like terms: 2x + -53x = -51x
13 + -51x = -2 + 53x + -53x

Combine like terms: 53x + -53x = 0
13 + -51x = -2 + 0
13 + -51x = -2

Add '-13' to each side of the equation.
13 + -13 + -51x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -51x = -2 + -13
-51x = -2 + -13

Combine like terms: -2 + -13 = -15
-51x = -15

Divide each side by '-51'.
x = 0.2941176471

Simplifying
x = 0.2941176471

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