(x-2)-5=8-2(x-4)

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


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

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

Remove parenthesis around (-2 + x)
-2 + x + -5 = 8 + -2(x + -4)

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

Combine like terms: -2 + -5 = -7
-7 + x = 8 + -2(x + -4)

Reorder the terms:
-7 + x = 8 + -2(-4 + x)
-7 + x = 8 + (-4 * -2 + x * -2)
-7 + x = 8 + (8 + -2x)

Combine like terms: 8 + 8 = 16
-7 + x = 16 + -2x

Solving
-7 + x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + x + 2x = 16 + -2x + 2x

Combine like terms: x + 2x = 3x
-7 + 3x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 3x = 16 + 0
-7 + 3x = 16

Add '7' to each side of the equation.
-7 + 7 + 3x = 16 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 16 + 7
3x = 16 + 7

Combine like terms: 16 + 7 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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