3(4x-7)=47

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Solution for 3(4x-7)=47 equation: 


Simplifying
3(4x + -7) = 47

Reorder the terms:
3(-7 + 4x) = 47
(-7 * 3 + 4x * 3) = 47
(-21 + 12x) = 47

Solving
-21 + 12x = 47

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 12x = 47 + 21

Combine like terms: -21 + 21 = 0
0 + 12x = 47 + 21
12x = 47 + 21

Combine like terms: 47 + 21 = 68
12x = 68

Divide each side by '12'.
x = 5.666666667

Simplifying
x = 5.666666667

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