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

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


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

Reorder the terms:
-8(-2 + x) = 5 + -2(x + 3)
(-2 * -8 + x * -8) = 5 + -2(x + 3)
(16 + -8x) = 5 + -2(x + 3)

Reorder the terms:
16 + -8x = 5 + -2(3 + x)
16 + -8x = 5 + (3 * -2 + x * -2)
16 + -8x = 5 + (-6 + -2x)

Combine like terms: 5 + -6 = -1
16 + -8x = -1 + -2x

Solving
16 + -8x = -1 + -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.
16 + -8x + 2x = -1 + -2x + 2x

Combine like terms: -8x + 2x = -6x
16 + -6x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + -6x = -1 + 0
16 + -6x = -1

Add '-16' to each side of the equation.
16 + -16 + -6x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -1 + -16
-6x = -1 + -16

Combine like terms: -1 + -16 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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