3(2-4x)=8x-(x-2)-1+52(x-1)

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Solution for 3(2-4x)=8x-(x-2)-1+52(x-1) equation:


Simplifying
3(2 + -4x) = 8x + -1(x + -2) + -1 + 52(x + -1)
(2 * 3 + -4x * 3) = 8x + -1(x + -2) + -1 + 52(x + -1)
(6 + -12x) = 8x + -1(x + -2) + -1 + 52(x + -1)

Reorder the terms:
6 + -12x = 8x + -1(-2 + x) + -1 + 52(x + -1)
6 + -12x = 8x + (-2 * -1 + x * -1) + -1 + 52(x + -1)
6 + -12x = 8x + (2 + -1x) + -1 + 52(x + -1)

Reorder the terms:
6 + -12x = 8x + 2 + -1x + -1 + 52(-1 + x)
6 + -12x = 8x + 2 + -1x + -1 + (-1 * 52 + x * 52)
6 + -12x = 8x + 2 + -1x + -1 + (-52 + 52x)

Reorder the terms:
6 + -12x = 2 + -1 + -52 + 8x + -1x + 52x

Combine like terms: 2 + -1 = 1
6 + -12x = 1 + -52 + 8x + -1x + 52x

Combine like terms: 1 + -52 = -51
6 + -12x = -51 + 8x + -1x + 52x

Combine like terms: 8x + -1x = 7x
6 + -12x = -51 + 7x + 52x

Combine like terms: 7x + 52x = 59x
6 + -12x = -51 + 59x

Solving
6 + -12x = -51 + 59x

Solving for variable 'x'.

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

Add '-59x' to each side of the equation.
6 + -12x + -59x = -51 + 59x + -59x

Combine like terms: -12x + -59x = -71x
6 + -71x = -51 + 59x + -59x

Combine like terms: 59x + -59x = 0
6 + -71x = -51 + 0
6 + -71x = -51

Add '-6' to each side of the equation.
6 + -6 + -71x = -51 + -6

Combine like terms: 6 + -6 = 0
0 + -71x = -51 + -6
-71x = -51 + -6

Combine like terms: -51 + -6 = -57
-71x = -57

Divide each side by '-71'.
x = 0.8028169014

Simplifying
x = 0.8028169014

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