4(x-3)=36-4x

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Solution for 4(x-3)=36-4x equation:


Simplifying
4(x + -3) = 36 + -4x

Reorder the terms:
4(-3 + x) = 36 + -4x
(-3 * 4 + x * 4) = 36 + -4x
(-12 + 4x) = 36 + -4x

Solving
-12 + 4x = 36 + -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.
-12 + 4x + 4x = 36 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-12 + 8x = 36 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 8x = 36 + 0
-12 + 8x = 36

Add '12' to each side of the equation.
-12 + 12 + 8x = 36 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 36 + 12
8x = 36 + 12

Combine like terms: 36 + 12 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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