(7x-2)=(2x+8)

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Solution for (7x-2)=(2x+8) equation:


Simplifying
(7x + -2) = (2x + 8)

Reorder the terms:
(-2 + 7x) = (2x + 8)

Remove parenthesis around (-2 + 7x)
-2 + 7x = (2x + 8)

Reorder the terms:
-2 + 7x = (8 + 2x)

Remove parenthesis around (8 + 2x)
-2 + 7x = 8 + 2x

Solving
-2 + 7x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-2 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 5x = 8 + 0
-2 + 5x = 8

Add '2' to each side of the equation.
-2 + 2 + 5x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 8 + 2
5x = 8 + 2

Combine like terms: 8 + 2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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