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

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


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

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

Combine like terms: 8 + 2 = 10
6 + -3x = 10 + -8x

Solving
6 + -3x = 10 + -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.
6 + -3x + 8x = 10 + -8x + 8x

Combine like terms: -3x + 8x = 5x
6 + 5x = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 5x = 10 + 0
6 + 5x = 10

Add '-6' to each side of the equation.
6 + -6 + 5x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 10 + -6
5x = 10 + -6

Combine like terms: 10 + -6 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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