8(x+3)-3x=5-x+1

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Solution for 8(x+3)-3x=5-x+1 equation:


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

Reorder the terms:
8(3 + x) + -3x = 5 + -1x + 1
(3 * 8 + x * 8) + -3x = 5 + -1x + 1
(24 + 8x) + -3x = 5 + -1x + 1

Combine like terms: 8x + -3x = 5x
24 + 5x = 5 + -1x + 1

Reorder the terms:
24 + 5x = 5 + 1 + -1x

Combine like terms: 5 + 1 = 6
24 + 5x = 6 + -1x

Solving
24 + 5x = 6 + -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.
24 + 5x + x = 6 + -1x + x

Combine like terms: 5x + x = 6x
24 + 6x = 6 + -1x + x

Combine like terms: -1x + x = 0
24 + 6x = 6 + 0
24 + 6x = 6

Add '-24' to each side of the equation.
24 + -24 + 6x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 6 + -24
6x = 6 + -24

Combine like terms: 6 + -24 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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