5(x-2)=2x+(x+6)

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Solution for 5(x-2)=2x+(x+6) equation:


Simplifying
5(x + -2) = 2x + (x + 6)

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

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

Remove parenthesis around (6 + x)
-10 + 5x = 2x + 6 + x

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

Combine like terms: 2x + x = 3x
-10 + 5x = 6 + 3x

Solving
-10 + 5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x = 6 + 0
-10 + 2x = 6

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

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

Combine like terms: 6 + 10 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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