8(6x-2)-4(3x+6)=68

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Solution for 8(6x-2)-4(3x+6)=68 equation: 


Simplifying
8(6x + -2) + -4(3x + 6) = 68

Reorder the terms:
8(-2 + 6x) + -4(3x + 6) = 68
(-2 * 8 + 6x * 8) + -4(3x + 6) = 68
(-16 + 48x) + -4(3x + 6) = 68

Reorder the terms:
-16 + 48x + -4(6 + 3x) = 68
-16 + 48x + (6 * -4 + 3x * -4) = 68
-16 + 48x + (-24 + -12x) = 68

Reorder the terms:
-16 + -24 + 48x + -12x = 68

Combine like terms: -16 + -24 = -40
-40 + 48x + -12x = 68

Combine like terms: 48x + -12x = 36x
-40 + 36x = 68

Solving
-40 + 36x = 68

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 36x = 68 + 40

Combine like terms: -40 + 40 = 0
0 + 36x = 68 + 40
36x = 68 + 40

Combine like terms: 68 + 40 = 108
36x = 108

Divide each side by '36'.
x = 3

Simplifying
x = 3

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