3(x-3)=-9(x+1)+44

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Solution for 3(x-3)=-9(x+1)+44 equation:


Simplifying
3(x + -3) = -9(x + 1) + 44

Reorder the terms:
3(-3 + x) = -9(x + 1) + 44
(-3 * 3 + x * 3) = -9(x + 1) + 44
(-9 + 3x) = -9(x + 1) + 44

Reorder the terms:
-9 + 3x = -9(1 + x) + 44
-9 + 3x = (1 * -9 + x * -9) + 44
-9 + 3x = (-9 + -9x) + 44

Reorder the terms:
-9 + 3x = -9 + 44 + -9x

Combine like terms: -9 + 44 = 35
-9 + 3x = 35 + -9x

Solving
-9 + 3x = 35 + -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.
-9 + 3x + 9x = 35 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-9 + 12x = 35 + -9x + 9x

Combine like terms: -9x + 9x = 0
-9 + 12x = 35 + 0
-9 + 12x = 35

Add '9' to each side of the equation.
-9 + 9 + 12x = 35 + 9

Combine like terms: -9 + 9 = 0
0 + 12x = 35 + 9
12x = 35 + 9

Combine like terms: 35 + 9 = 44
12x = 44

Divide each side by '12'.
x = 3.666666667

Simplifying
x = 3.666666667

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