-4(6x-2)=3(8x-20)

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Solution for -4(6x-2)=3(8x-20) equation: 


Simplifying
-4(6x + -2) = 3(8x + -20)

Reorder the terms:
-4(-2 + 6x) = 3(8x + -20)
(-2 * -4 + 6x * -4) = 3(8x + -20)
(8 + -24x) = 3(8x + -20)

Reorder the terms:
8 + -24x = 3(-20 + 8x)
8 + -24x = (-20 * 3 + 8x * 3)
8 + -24x = (-60 + 24x)

Solving
8 + -24x = -60 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
8 + -24x + -24x = -60 + 24x + -24x

Combine like terms: -24x + -24x = -48x
8 + -48x = -60 + 24x + -24x

Combine like terms: 24x + -24x = 0
8 + -48x = -60 + 0
8 + -48x = -60

Add '-8' to each side of the equation.
8 + -8 + -48x = -60 + -8

Combine like terms: 8 + -8 = 0
0 + -48x = -60 + -8
-48x = -60 + -8

Combine like terms: -60 + -8 = -68
-48x = -68

Divide each side by '-48'.
x = 1.416666667

Simplifying
x = 1.416666667

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