8(x-4)+2=-(x+3)-1

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Solution for 8(x-4)+2=-(x+3)-1 equation:


Simplifying
8(x + -4) + 2 = -1(x + 3) + -1

Reorder the terms:
8(-4 + x) + 2 = -1(x + 3) + -1
(-4 * 8 + x * 8) + 2 = -1(x + 3) + -1
(-32 + 8x) + 2 = -1(x + 3) + -1

Reorder the terms:
-32 + 2 + 8x = -1(x + 3) + -1

Combine like terms: -32 + 2 = -30
-30 + 8x = -1(x + 3) + -1

Reorder the terms:
-30 + 8x = -1(3 + x) + -1
-30 + 8x = (3 * -1 + x * -1) + -1
-30 + 8x = (-3 + -1x) + -1

Reorder the terms:
-30 + 8x = -3 + -1 + -1x

Combine like terms: -3 + -1 = -4
-30 + 8x = -4 + -1x

Solving
-30 + 8x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-30 + 8x + x = -4 + -1x + x

Combine like terms: 8x + x = 9x
-30 + 9x = -4 + -1x + x

Combine like terms: -1x + x = 0
-30 + 9x = -4 + 0
-30 + 9x = -4

Add '30' to each side of the equation.
-30 + 30 + 9x = -4 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = -4 + 30
9x = -4 + 30

Combine like terms: -4 + 30 = 26
9x = 26

Divide each side by '9'.
x = 2.888888889

Simplifying
x = 2.888888889

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