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

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


Simplifying
8(x + -6) = 4(3 + -1x)

Reorder the terms:
8(-6 + x) = 4(3 + -1x)
(-6 * 8 + x * 8) = 4(3 + -1x)
(-48 + 8x) = 4(3 + -1x)
-48 + 8x = (3 * 4 + -1x * 4)
-48 + 8x = (12 + -4x)

Solving
-48 + 8x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-48 + 8x + 4x = 12 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-48 + 12x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-48 + 12x = 12 + 0
-48 + 12x = 12

Add '48' to each side of the equation.
-48 + 48 + 12x = 12 + 48

Combine like terms: -48 + 48 = 0
0 + 12x = 12 + 48
12x = 12 + 48

Combine like terms: 12 + 48 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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