3-x=2(1-4x)-6

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Solution for 3-x=2(1-4x)-6 equation:


Simplifying
3 + -1x = 2(1 + -4x) + -6
3 + -1x = (1 * 2 + -4x * 2) + -6
3 + -1x = (2 + -8x) + -6

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

Combine like terms: 2 + -6 = -4
3 + -1x = -4 + -8x

Solving
3 + -1x = -4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + -1x + 8x = -4 + -8x + 8x

Combine like terms: -1x + 8x = 7x
3 + 7x = -4 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 7x = -4 + 0
3 + 7x = -4

Add '-3' to each side of the equation.
3 + -3 + 7x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = -4 + -3
7x = -4 + -3

Combine like terms: -4 + -3 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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