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

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


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

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

Reorder the terms:
24 + 3x = 2 + -1 + -2x

Combine like terms: 2 + -1 = 1
24 + 3x = 1 + -2x

Solving
24 + 3x = 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.
24 + 3x + 2x = 1 + -2x + 2x

Combine like terms: 3x + 2x = 5x
24 + 5x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
24 + 5x = 1 + 0
24 + 5x = 1

Add '-24' to each side of the equation.
24 + -24 + 5x = 1 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 1 + -24
5x = 1 + -24

Combine like terms: 1 + -24 = -23
5x = -23

Divide each side by '5'.
x = -4.6

Simplifying
x = -4.6

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