(4x-2)=(x+10)

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


Simplifying
(4x + -2) = (x + 10)

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

Remove parenthesis around (-2 + 4x)
-2 + 4x = (x + 10)

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

Remove parenthesis around (10 + x)
-2 + 4x = 10 + x

Solving
-2 + 4x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 4x + -1x = 10 + x + -1x

Combine like terms: 4x + -1x = 3x
-2 + 3x = 10 + x + -1x

Combine like terms: x + -1x = 0
-2 + 3x = 10 + 0
-2 + 3x = 10

Add '2' to each side of the equation.
-2 + 2 + 3x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 10 + 2
3x = 10 + 2

Combine like terms: 10 + 2 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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