12x-5=7x+5

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Solution for 12x-5=7x+5 equation:


Simplifying
12x + -5 = 7x + 5

Reorder the terms:
-5 + 12x = 7x + 5

Reorder the terms:
-5 + 12x = 5 + 7x

Solving
-5 + 12x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + 12x + -7x = 5 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-5 + 5x = 5 + 0
-5 + 5x = 5

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

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

Combine like terms: 5 + 5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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