2(x-4)-8=-3(x-5)

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Solution for 2(x-4)-8=-3(x-5) equation:


Simplifying
2(x + -4) + -8 = -3(x + -5)

Reorder the terms:
2(-4 + x) + -8 = -3(x + -5)
(-4 * 2 + x * 2) + -8 = -3(x + -5)
(-8 + 2x) + -8 = -3(x + -5)

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

Combine like terms: -8 + -8 = -16
-16 + 2x = -3(x + -5)

Reorder the terms:
-16 + 2x = -3(-5 + x)
-16 + 2x = (-5 * -3 + x * -3)
-16 + 2x = (15 + -3x)

Solving
-16 + 2x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + 2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-16 + 5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 5x = 15 + 0
-16 + 5x = 15

Add '16' to each side of the equation.
-16 + 16 + 5x = 15 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 15 + 16
5x = 15 + 16

Combine like terms: 15 + 16 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

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