8-3(2x-4)=7x-(3+x)

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Solution for 8-3(2x-4)=7x-(3+x) equation:


Simplifying
8 + -3(2x + -4) = 7x + -1(3 + x)

Reorder the terms:
8 + -3(-4 + 2x) = 7x + -1(3 + x)
8 + (-4 * -3 + 2x * -3) = 7x + -1(3 + x)
8 + (12 + -6x) = 7x + -1(3 + x)

Combine like terms: 8 + 12 = 20
20 + -6x = 7x + -1(3 + x)
20 + -6x = 7x + (3 * -1 + x * -1)
20 + -6x = 7x + (-3 + -1x)

Reorder the terms:
20 + -6x = -3 + 7x + -1x

Combine like terms: 7x + -1x = 6x
20 + -6x = -3 + 6x

Solving
20 + -6x = -3 + 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.
20 + -6x + -6x = -3 + 6x + -6x

Combine like terms: -6x + -6x = -12x
20 + -12x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -12x = -3 + 0
20 + -12x = -3

Add '-20' to each side of the equation.
20 + -20 + -12x = -3 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = -3 + -20
-12x = -3 + -20

Combine like terms: -3 + -20 = -23
-12x = -23

Divide each side by '-12'.
x = 1.916666667

Simplifying
x = 1.916666667

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