5x-12=12x+10

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Solution for 5x-12=12x+10 equation:


Simplifying
5x + -12 = 12x + 10

Reorder the terms:
-12 + 5x = 12x + 10

Reorder the terms:
-12 + 5x = 10 + 12x

Solving
-12 + 5x = 10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-12 + 5x + -12x = 10 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-12 + -7x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0
-12 + -7x = 10 + 0
-12 + -7x = 10

Add '12' to each side of the equation.
-12 + 12 + -7x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = 10 + 12
-7x = 10 + 12

Combine like terms: 10 + 12 = 22
-7x = 22

Divide each side by '-7'.
x = -3.142857143

Simplifying
x = -3.142857143

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