-2(1-3x)=11-(x+8)

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Solution for -2(1-3x)=11-(x+8) equation:


Simplifying
-2(1 + -3x) = 11 + -1(x + 8)
(1 * -2 + -3x * -2) = 11 + -1(x + 8)
(-2 + 6x) = 11 + -1(x + 8)

Reorder the terms:
-2 + 6x = 11 + -1(8 + x)
-2 + 6x = 11 + (8 * -1 + x * -1)
-2 + 6x = 11 + (-8 + -1x)

Combine like terms: 11 + -8 = 3
-2 + 6x = 3 + -1x

Solving
-2 + 6x = 3 + -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.
-2 + 6x + x = 3 + -1x + x

Combine like terms: 6x + x = 7x
-2 + 7x = 3 + -1x + x

Combine like terms: -1x + x = 0
-2 + 7x = 3 + 0
-2 + 7x = 3

Add '2' to each side of the equation.
-2 + 2 + 7x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 3 + 2
7x = 3 + 2

Combine like terms: 3 + 2 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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