-8(x-2)+5=-3x-(x+6)

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Solution for -8(x-2)+5=-3x-(x+6) equation:


Simplifying
-8(x + -2) + 5 = -3x + -1(x + 6)

Reorder the terms:
-8(-2 + x) + 5 = -3x + -1(x + 6)
(-2 * -8 + x * -8) + 5 = -3x + -1(x + 6)
(16 + -8x) + 5 = -3x + -1(x + 6)

Reorder the terms:
16 + 5 + -8x = -3x + -1(x + 6)

Combine like terms: 16 + 5 = 21
21 + -8x = -3x + -1(x + 6)

Reorder the terms:
21 + -8x = -3x + -1(6 + x)
21 + -8x = -3x + (6 * -1 + x * -1)
21 + -8x = -3x + (-6 + -1x)

Reorder the terms:
21 + -8x = -6 + -3x + -1x

Combine like terms: -3x + -1x = -4x
21 + -8x = -6 + -4x

Solving
21 + -8x = -6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
21 + -8x + 4x = -6 + -4x + 4x

Combine like terms: -8x + 4x = -4x
21 + -4x = -6 + -4x + 4x

Combine like terms: -4x + 4x = 0
21 + -4x = -6 + 0
21 + -4x = -6

Add '-21' to each side of the equation.
21 + -21 + -4x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -6 + -21
-4x = -6 + -21

Combine like terms: -6 + -21 = -27
-4x = -27

Divide each side by '-4'.
x = 6.75

Simplifying
x = 6.75

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