9+3(x-6)=5-8(x-2)

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Solution for 9+3(x-6)=5-8(x-2) equation:


Simplifying
9 + 3(x + -6) = 5 + -8(x + -2)

Reorder the terms:
9 + 3(-6 + x) = 5 + -8(x + -2)
9 + (-6 * 3 + x * 3) = 5 + -8(x + -2)
9 + (-18 + 3x) = 5 + -8(x + -2)

Combine like terms: 9 + -18 = -9
-9 + 3x = 5 + -8(x + -2)

Reorder the terms:
-9 + 3x = 5 + -8(-2 + x)
-9 + 3x = 5 + (-2 * -8 + x * -8)
-9 + 3x = 5 + (16 + -8x)

Combine like terms: 5 + 16 = 21
-9 + 3x = 21 + -8x

Solving
-9 + 3x = 21 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9 + 3x + 8x = 21 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-9 + 11x = 21 + -8x + 8x

Combine like terms: -8x + 8x = 0
-9 + 11x = 21 + 0
-9 + 11x = 21

Add '9' to each side of the equation.
-9 + 9 + 11x = 21 + 9

Combine like terms: -9 + 9 = 0
0 + 11x = 21 + 9
11x = 21 + 9

Combine like terms: 21 + 9 = 30
11x = 30

Divide each side by '11'.
x = 2.727272727

Simplifying
x = 2.727272727

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