-4(x-6)=-8(x-4)

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


Simplifying
-4(x + -6) = -8(x + -4)

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

Reorder the terms:
24 + -4x = -8(-4 + x)
24 + -4x = (-4 * -8 + x * -8)
24 + -4x = (32 + -8x)

Solving
24 + -4x = 32 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
24 + -4x + 8x = 32 + -8x + 8x

Combine like terms: -4x + 8x = 4x
24 + 4x = 32 + -8x + 8x

Combine like terms: -8x + 8x = 0
24 + 4x = 32 + 0
24 + 4x = 32

Add '-24' to each side of the equation.
24 + -24 + 4x = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 32 + -24
4x = 32 + -24

Combine like terms: 32 + -24 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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