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

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


Simplifying
2(-1x + 3) + -5 = 2(x + -8)

Reorder the terms:
2(3 + -1x) + -5 = 2(x + -8)
(3 * 2 + -1x * 2) + -5 = 2(x + -8)
(6 + -2x) + -5 = 2(x + -8)

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

Combine like terms: 6 + -5 = 1
1 + -2x = 2(x + -8)

Reorder the terms:
1 + -2x = 2(-8 + x)
1 + -2x = (-8 * 2 + x * 2)
1 + -2x = (-16 + 2x)

Solving
1 + -2x = -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.
1 + -2x + -2x = -16 + 2x + -2x

Combine like terms: -2x + -2x = -4x
1 + -4x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -4x = -16 + 0
1 + -4x = -16

Add '-1' to each side of the equation.
1 + -1 + -4x = -16 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -16 + -1
-4x = -16 + -1

Combine like terms: -16 + -1 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25

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