(x-8)=-(2x-3)

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


Simplifying
(x + -8) = -1(2x + -3)

Reorder the terms:
(-8 + x) = -1(2x + -3)

Remove parenthesis around (-8 + x)
-8 + x = -1(2x + -3)

Reorder the terms:
-8 + x = -1(-3 + 2x)
-8 + x = (-3 * -1 + 2x * -1)
-8 + x = (3 + -2x)

Solving
-8 + x = 3 + -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.
-8 + x + 2x = 3 + -2x + 2x

Combine like terms: x + 2x = 3x
-8 + 3x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 3x = 3 + 0
-8 + 3x = 3

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

Combine like terms: -8 + 8 = 0
0 + 3x = 3 + 8
3x = 3 + 8

Combine like terms: 3 + 8 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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