3(1-3x)-8=5-6(x+1)

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Solution for 3(1-3x)-8=5-6(x+1) equation:


Simplifying
3(1 + -3x) + -8 = 5 + -6(x + 1)
(1 * 3 + -3x * 3) + -8 = 5 + -6(x + 1)
(3 + -9x) + -8 = 5 + -6(x + 1)

Reorder the terms:
3 + -8 + -9x = 5 + -6(x + 1)

Combine like terms: 3 + -8 = -5
-5 + -9x = 5 + -6(x + 1)

Reorder the terms:
-5 + -9x = 5 + -6(1 + x)
-5 + -9x = 5 + (1 * -6 + x * -6)
-5 + -9x = 5 + (-6 + -6x)

Combine like terms: 5 + -6 = -1
-5 + -9x = -1 + -6x

Solving
-5 + -9x = -1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + -9x + 6x = -1 + -6x + 6x

Combine like terms: -9x + 6x = -3x
-5 + -3x = -1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + -3x = -1 + 0
-5 + -3x = -1

Add '5' to each side of the equation.
-5 + 5 + -3x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -1 + 5
-3x = -1 + 5

Combine like terms: -1 + 5 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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