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

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


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

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

Combine like terms: 8 + 12 = 20
20 + -6x = -1(4x + -6) + 1

Reorder the terms:
20 + -6x = -1(-6 + 4x) + 1
20 + -6x = (-6 * -1 + 4x * -1) + 1
20 + -6x = (6 + -4x) + 1

Reorder the terms:
20 + -6x = 6 + 1 + -4x

Combine like terms: 6 + 1 = 7
20 + -6x = 7 + -4x

Solving
20 + -6x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
20 + -6x + 4x = 7 + -4x + 4x

Combine like terms: -6x + 4x = -2x
20 + -2x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + -2x = 7 + 0
20 + -2x = 7

Add '-20' to each side of the equation.
20 + -20 + -2x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 7 + -20
-2x = 7 + -20

Combine like terms: 7 + -20 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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