3(x-1)=-9(x+4)+47

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Solution for 3(x-1)=-9(x+4)+47 equation: 


Simplifying
3(x + -1) = -9(x + 4) + 47

Reorder the terms:
3(-1 + x) = -9(x + 4) + 47
(-1 * 3 + x * 3) = -9(x + 4) + 47
(-3 + 3x) = -9(x + 4) + 47

Reorder the terms:
-3 + 3x = -9(4 + x) + 47
-3 + 3x = (4 * -9 + x * -9) + 47
-3 + 3x = (-36 + -9x) + 47

Reorder the terms:
-3 + 3x = -36 + 47 + -9x

Combine like terms: -36 + 47 = 11
-3 + 3x = 11 + -9x

Solving
-3 + 3x = 11 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-3 + 3x + 9x = 11 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-3 + 12x = 11 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 12x = 11 + 0
-3 + 12x = 11

Add '3' to each side of the equation.
-3 + 3 + 12x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 12x = 11 + 3
12x = 11 + 3

Combine like terms: 11 + 3 = 14
12x = 14

Divide each side by '12'.
x = 1.166666667

Simplifying
x = 1.166666667

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