8+3(x-8)=8-3(x-6)

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Solution for 8+3(x-8)=8-3(x-6) equation:


Simplifying
8 + 3(x + -8) = 8 + -3(x + -6)

Reorder the terms:
8 + 3(-8 + x) = 8 + -3(x + -6)
8 + (-8 * 3 + x * 3) = 8 + -3(x + -6)
8 + (-24 + 3x) = 8 + -3(x + -6)

Combine like terms: 8 + -24 = -16
-16 + 3x = 8 + -3(x + -6)

Reorder the terms:
-16 + 3x = 8 + -3(-6 + x)
-16 + 3x = 8 + (-6 * -3 + x * -3)
-16 + 3x = 8 + (18 + -3x)

Combine like terms: 8 + 18 = 26
-16 + 3x = 26 + -3x

Solving
-16 + 3x = 26 + -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.
-16 + 3x + 3x = 26 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-16 + 6x = 26 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 6x = 26 + 0
-16 + 6x = 26

Add '16' to each side of the equation.
-16 + 16 + 6x = 26 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 26 + 16
6x = 26 + 16

Combine like terms: 26 + 16 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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