4(6-x)-1=8-3(2x-4)

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Solution for 4(6-x)-1=8-3(2x-4) equation:


Simplifying
4(6 + -1x) + -1 = 8 + -3(2x + -4)
(6 * 4 + -1x * 4) + -1 = 8 + -3(2x + -4)
(24 + -4x) + -1 = 8 + -3(2x + -4)

Reorder the terms:
24 + -1 + -4x = 8 + -3(2x + -4)

Combine like terms: 24 + -1 = 23
23 + -4x = 8 + -3(2x + -4)

Reorder the terms:
23 + -4x = 8 + -3(-4 + 2x)
23 + -4x = 8 + (-4 * -3 + 2x * -3)
23 + -4x = 8 + (12 + -6x)

Combine like terms: 8 + 12 = 20
23 + -4x = 20 + -6x

Solving
23 + -4x = 20 + -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.
23 + -4x + 6x = 20 + -6x + 6x

Combine like terms: -4x + 6x = 2x
23 + 2x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
23 + 2x = 20 + 0
23 + 2x = 20

Add '-23' to each side of the equation.
23 + -23 + 2x = 20 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = 20 + -23
2x = 20 + -23

Combine like terms: 20 + -23 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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