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

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


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

Reorder the terms:
3(-8 + x) = -1(2x + -3)
(-8 * 3 + x * 3) = -1(2x + -3)
(-24 + 3x) = -1(2x + -3)

Reorder the terms:
-24 + 3x = -1(-3 + 2x)
-24 + 3x = (-3 * -1 + 2x * -1)
-24 + 3x = (3 + -2x)

Solving
-24 + 3x = 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.
-24 + 3x + 2x = 3 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-24 + 5x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 5x = 3 + 0
-24 + 5x = 3

Add '24' to each side of the equation.
-24 + 24 + 5x = 3 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 3 + 24
5x = 3 + 24

Combine like terms: 3 + 24 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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