3(x-3)=47-4x

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Solution for 3(x-3)=47-4x equation:


Simplifying
3(x + -3) = 47 + -4x

Reorder the terms:
3(-3 + x) = 47 + -4x
(-3 * 3 + x * 3) = 47 + -4x
(-9 + 3x) = 47 + -4x

Solving
-9 + 3x = 47 + -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.
-9 + 3x + 4x = 47 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-9 + 7x = 47 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 7x = 47 + 0
-9 + 7x = 47

Add '9' to each side of the equation.
-9 + 9 + 7x = 47 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 47 + 9
7x = 47 + 9

Combine like terms: 47 + 9 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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