6x-10=5x+2

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Solution for 6x-10=5x+2 equation:


Simplifying
6x + -10 = 5x + 2

Reorder the terms:
-10 + 6x = 5x + 2

Reorder the terms:
-10 + 6x = 2 + 5x

Solving
-10 + 6x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 6x + -5x = 2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-10 + 1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 1x = 2 + 0
-10 + 1x = 2

Add '10' to each side of the equation.
-10 + 10 + 1x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 2 + 10
1x = 2 + 10

Combine like terms: 2 + 10 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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