6+8*(x-6)=2-3*(x-8)

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Solution for 6+8*(x-6)=2-3*(x-8) equation: 


Simplifying
6 + 8(x + -6) = 2 + -3(x + -8)

Reorder the terms:
6 + 8(-6 + x) = 2 + -3(x + -8)
6 + (-6 * 8 + x * 8) = 2 + -3(x + -8)
6 + (-48 + 8x) = 2 + -3(x + -8)

Combine like terms: 6 + -48 = -42
-42 + 8x = 2 + -3(x + -8)

Reorder the terms:
-42 + 8x = 2 + -3(-8 + x)
-42 + 8x = 2 + (-8 * -3 + x * -3)
-42 + 8x = 2 + (24 + -3x)

Combine like terms: 2 + 24 = 26
-42 + 8x = 26 + -3x

Solving
-42 + 8x = 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.
-42 + 8x + 3x = 26 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-42 + 11x = 26 + -3x + 3x

Combine like terms: -3x + 3x = 0
-42 + 11x = 26 + 0
-42 + 11x = 26

Add '42' to each side of the equation.
-42 + 42 + 11x = 26 + 42

Combine like terms: -42 + 42 = 0
0 + 11x = 26 + 42
11x = 26 + 42

Combine like terms: 26 + 42 = 68
11x = 68

Divide each side by '11'.
x = 6.181818182

Simplifying
x = 6.181818182

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