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

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


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

Reorder the terms:
8x + -2(8 + -2x) = 3(8 + -4x) + -3
8x + (8 * -2 + -2x * -2) = 3(8 + -4x) + -3
8x + (-16 + 4x) = 3(8 + -4x) + -3

Reorder the terms:
-16 + 8x + 4x = 3(8 + -4x) + -3

Combine like terms: 8x + 4x = 12x
-16 + 12x = 3(8 + -4x) + -3
-16 + 12x = (8 * 3 + -4x * 3) + -3
-16 + 12x = (24 + -12x) + -3

Reorder the terms:
-16 + 12x = 24 + -3 + -12x

Combine like terms: 24 + -3 = 21
-16 + 12x = 21 + -12x

Solving
-16 + 12x = 21 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-16 + 12x + 12x = 21 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-16 + 24x = 21 + -12x + 12x

Combine like terms: -12x + 12x = 0
-16 + 24x = 21 + 0
-16 + 24x = 21

Add '16' to each side of the equation.
-16 + 16 + 24x = 21 + 16

Combine like terms: -16 + 16 = 0
0 + 24x = 21 + 16
24x = 21 + 16

Combine like terms: 21 + 16 = 37
24x = 37

Divide each side by '24'.
x = 1.541666667

Simplifying
x = 1.541666667

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