x+4(x-6)=6

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


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

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

Reorder the terms:
-24 + x + 4x = 6

Combine like terms: x + 4x = 5x
-24 + 5x = 6

Solving
-24 + 5x = 6

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 + 5x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 6 + 24
5x = 6 + 24

Combine like terms: 6 + 24 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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