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

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


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

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

Reorder the terms:
-12 + 6x = 8(-4 + x)
-12 + 6x = (-4 * 8 + x * 8)
-12 + 6x = (-32 + 8x)

Solving
-12 + 6x = -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.
-12 + 6x + -8x = -32 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-12 + -2x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -2x = -32 + 0
-12 + -2x = -32

Add '12' to each side of the equation.
-12 + 12 + -2x = -32 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -32 + 12
-2x = -32 + 12

Combine like terms: -32 + 12 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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