17(x+2)=6(x+8)+8

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Solution for 17(x+2)=6(x+8)+8 equation: 


Simplifying
17(x + 2) = 6(x + 8) + 8

Reorder the terms:
17(2 + x) = 6(x + 8) + 8
(2 * 17 + x * 17) = 6(x + 8) + 8
(34 + 17x) = 6(x + 8) + 8

Reorder the terms:
34 + 17x = 6(8 + x) + 8
34 + 17x = (8 * 6 + x * 6) + 8
34 + 17x = (48 + 6x) + 8

Reorder the terms:
34 + 17x = 48 + 8 + 6x

Combine like terms: 48 + 8 = 56
34 + 17x = 56 + 6x

Solving
34 + 17x = 56 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
34 + 17x + -6x = 56 + 6x + -6x

Combine like terms: 17x + -6x = 11x
34 + 11x = 56 + 6x + -6x

Combine like terms: 6x + -6x = 0
34 + 11x = 56 + 0
34 + 11x = 56

Add '-34' to each side of the equation.
34 + -34 + 11x = 56 + -34

Combine like terms: 34 + -34 = 0
0 + 11x = 56 + -34
11x = 56 + -34

Combine like terms: 56 + -34 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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