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

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


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

Reorder the terms:
8(3 + x) + -1(x + 2) = -1
(3 * 8 + x * 8) + -1(x + 2) = -1
(24 + 8x) + -1(x + 2) = -1

Reorder the terms:
24 + 8x + -1(2 + x) = -1
24 + 8x + (2 * -1 + x * -1) = -1
24 + 8x + (-2 + -1x) = -1

Reorder the terms:
24 + -2 + 8x + -1x = -1

Combine like terms: 24 + -2 = 22
22 + 8x + -1x = -1

Combine like terms: 8x + -1x = 7x
22 + 7x = -1

Solving
22 + 7x = -1

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 7x = -1 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = -1 + -22
7x = -1 + -22

Combine like terms: -1 + -22 = -23
7x = -23

Divide each side by '7'.
x = -3.285714286

Simplifying
x = -3.285714286

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