x+6(x-4)=24

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Solution for x+6(x-4)=24 equation:


Simplifying
x + 6(x + -4) = 24

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

Reorder the terms:
-24 + x + 6x = 24

Combine like terms: x + 6x = 7x
-24 + 7x = 24

Solving
-24 + 7x = 24

Solving for variable 'x'.

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

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

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

Combine like terms: 24 + 24 = 48
7x = 48

Divide each side by '7'.
x = 6.857142857

Simplifying
x = 6.857142857

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