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

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Solution for 9(x-3)=-3(x+-4)+47 equation:


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

Reorder the terms:
9(-3 + x) = -3(x + -4) + 47
(-3 * 9 + x * 9) = -3(x + -4) + 47
(-27 + 9x) = -3(x + -4) + 47

Reorder the terms:
-27 + 9x = -3(-4 + x) + 47
-27 + 9x = (-4 * -3 + x * -3) + 47
-27 + 9x = (12 + -3x) + 47

Reorder the terms:
-27 + 9x = 12 + 47 + -3x

Combine like terms: 12 + 47 = 59
-27 + 9x = 59 + -3x

Solving
-27 + 9x = 59 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-27 + 9x + 3x = 59 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-27 + 12x = 59 + -3x + 3x

Combine like terms: -3x + 3x = 0
-27 + 12x = 59 + 0
-27 + 12x = 59

Add '27' to each side of the equation.
-27 + 27 + 12x = 59 + 27

Combine like terms: -27 + 27 = 0
0 + 12x = 59 + 27
12x = 59 + 27

Combine like terms: 59 + 27 = 86
12x = 86

Divide each side by '12'.
x = 7.166666667

Simplifying
x = 7.166666667

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