10x-2=4x+10

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Solution for 10x-2=4x+10 equation:


Simplifying
10x + -2 = 4x + 10

Reorder the terms:
-2 + 10x = 4x + 10

Reorder the terms:
-2 + 10x = 10 + 4x

Solving
-2 + 10x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 10x + -4x = 10 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-2 + 6x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 6x = 10 + 0
-2 + 6x = 10

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

Combine like terms: -2 + 2 = 0
0 + 6x = 10 + 2
6x = 10 + 2

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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