6x-5(6-x)=47

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Solution for 6x-5(6-x)=47 equation:


Simplifying
6x + -5(6 + -1x) = 47
6x + (6 * -5 + -1x * -5) = 47
6x + (-30 + 5x) = 47

Reorder the terms:
-30 + 6x + 5x = 47

Combine like terms: 6x + 5x = 11x
-30 + 11x = 47

Solving
-30 + 11x = 47

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 11x = 47 + 30

Combine like terms: -30 + 30 = 0
0 + 11x = 47 + 30
11x = 47 + 30

Combine like terms: 47 + 30 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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