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

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


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

Reorder the terms for easier multiplication:
2(1 + -3x) = 8 + -3x + 1
(1 * 2 + -3x * 2) = 8 + -3x + 1
(2 + -6x) = 8 + -3x + 1

Reorder the terms:
2 + -6x = 8 + 1 + -3x

Combine like terms: 8 + 1 = 9
2 + -6x = 9 + -3x

Solving
2 + -6x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -6x + 3x = 9 + -3x + 3x

Combine like terms: -6x + 3x = -3x
2 + -3x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + -3x = 9 + 0
2 + -3x = 9

Add '-2' to each side of the equation.
2 + -2 + -3x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 9 + -2
-3x = 9 + -2

Combine like terms: 9 + -2 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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