4x+8=1-x-2(3x-4)

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Solution for 4x+8=1-x-2(3x-4) equation:


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

Reorder the terms:
8 + 4x = 1 + -1x + -2(3x + -4)

Reorder the terms:
8 + 4x = 1 + -1x + -2(-4 + 3x)
8 + 4x = 1 + -1x + (-4 * -2 + 3x * -2)
8 + 4x = 1 + -1x + (8 + -6x)

Reorder the terms:
8 + 4x = 1 + 8 + -1x + -6x

Combine like terms: 1 + 8 = 9
8 + 4x = 9 + -1x + -6x

Combine like terms: -1x + -6x = -7x
8 + 4x = 9 + -7x

Solving
8 + 4x = 9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + 4x + 7x = 9 + -7x + 7x

Combine like terms: 4x + 7x = 11x
8 + 11x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 11x = 9 + 0
8 + 11x = 9

Add '-8' to each side of the equation.
8 + -8 + 11x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = 9 + -8
11x = 9 + -8

Combine like terms: 9 + -8 = 1
11x = 1

Divide each side by '11'.
x = 0.09090909091

Simplifying
x = 0.09090909091

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