6+2(x-4)=9-5(x-8)

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Solution for 6+2(x-4)=9-5(x-8) equation:


Simplifying
6 + 2(x + -4) = 9 + -5(x + -8)

Reorder the terms:
6 + 2(-4 + x) = 9 + -5(x + -8)
6 + (-4 * 2 + x * 2) = 9 + -5(x + -8)
6 + (-8 + 2x) = 9 + -5(x + -8)

Combine like terms: 6 + -8 = -2
-2 + 2x = 9 + -5(x + -8)

Reorder the terms:
-2 + 2x = 9 + -5(-8 + x)
-2 + 2x = 9 + (-8 * -5 + x * -5)
-2 + 2x = 9 + (40 + -5x)

Combine like terms: 9 + 40 = 49
-2 + 2x = 49 + -5x

Solving
-2 + 2x = 49 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 2x + 5x = 49 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-2 + 7x = 49 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 7x = 49 + 0
-2 + 7x = 49

Add '2' to each side of the equation.
-2 + 2 + 7x = 49 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 49 + 2
7x = 49 + 2

Combine like terms: 49 + 2 = 51
7x = 51

Divide each side by '7'.
x = 7.285714286

Simplifying
x = 7.285714286

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