6(2x-4)=x+7

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Solution for 6(2x-4)=x+7 equation:


Simplifying
6(2x + -4) = x + 7

Reorder the terms:
6(-4 + 2x) = x + 7
(-4 * 6 + 2x * 6) = x + 7
(-24 + 12x) = x + 7

Reorder the terms:
-24 + 12x = 7 + x

Solving
-24 + 12x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-24 + 12x + -1x = 7 + x + -1x

Combine like terms: 12x + -1x = 11x
-24 + 11x = 7 + x + -1x

Combine like terms: x + -1x = 0
-24 + 11x = 7 + 0
-24 + 11x = 7

Add '24' to each side of the equation.
-24 + 24 + 11x = 7 + 24

Combine like terms: -24 + 24 = 0
0 + 11x = 7 + 24
11x = 7 + 24

Combine like terms: 7 + 24 = 31
11x = 31

Divide each side by '11'.
x = 2.818181818

Simplifying
x = 2.818181818

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