5x-8=2(x+6)

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Solution for 5x-8=2(x+6) equation:


Simplifying
5x + -8 = 2(x + 6)

Reorder the terms:
-8 + 5x = 2(x + 6)

Reorder the terms:
-8 + 5x = 2(6 + x)
-8 + 5x = (6 * 2 + x * 2)
-8 + 5x = (12 + 2x)

Solving
-8 + 5x = 12 + 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.
-8 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-8 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 3x = 12 + 0
-8 + 3x = 12

Add '8' to each side of the equation.
-8 + 8 + 3x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 12 + 8
3x = 12 + 8

Combine like terms: 12 + 8 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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