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

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


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

Reorder the terms:
6 + 2(-8 + x) = 5 + -6(x + -2)
6 + (-8 * 2 + x * 2) = 5 + -6(x + -2)
6 + (-16 + 2x) = 5 + -6(x + -2)

Combine like terms: 6 + -16 = -10
-10 + 2x = 5 + -6(x + -2)

Reorder the terms:
-10 + 2x = 5 + -6(-2 + x)
-10 + 2x = 5 + (-2 * -6 + x * -6)
-10 + 2x = 5 + (12 + -6x)

Combine like terms: 5 + 12 = 17
-10 + 2x = 17 + -6x

Solving
-10 + 2x = 17 + -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.
-10 + 2x + 6x = 17 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-10 + 8x = 17 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 8x = 17 + 0
-10 + 8x = 17

Add '10' to each side of the equation.
-10 + 10 + 8x = 17 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 17 + 10
8x = 17 + 10

Combine like terms: 17 + 10 = 27
8x = 27

Divide each side by '8'.
x = 3.375

Simplifying
x = 3.375

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