4(x-6)=36-6x

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Solution for 4(x-6)=36-6x equation:


Simplifying
4(x + -6) = 36 + -6x

Reorder the terms:
4(-6 + x) = 36 + -6x
(-6 * 4 + x * 4) = 36 + -6x
(-24 + 4x) = 36 + -6x

Solving
-24 + 4x = 36 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-24 + 4x + 6x = 36 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-24 + 10x = 36 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 10x = 36 + 0
-24 + 10x = 36

Add '24' to each side of the equation.
-24 + 24 + 10x = 36 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 36 + 24
10x = 36 + 24

Combine like terms: 36 + 24 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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