2x+10=53x-12

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Solution for 2x+10=53x-12 equation:


Simplifying
2x + 10 = 53x + -12

Reorder the terms:
10 + 2x = 53x + -12

Reorder the terms:
10 + 2x = -12 + 53x

Solving
10 + 2x = -12 + 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.
10 + 2x + -53x = -12 + 53x + -53x

Combine like terms: 2x + -53x = -51x
10 + -51x = -12 + 53x + -53x

Combine like terms: 53x + -53x = 0
10 + -51x = -12 + 0
10 + -51x = -12

Add '-10' to each side of the equation.
10 + -10 + -51x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -51x = -12 + -10
-51x = -12 + -10

Combine like terms: -12 + -10 = -22
-51x = -22

Divide each side by '-51'.
x = 0.431372549

Simplifying
x = 0.431372549

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