3(x-4)=-9(x+2)+45

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Solution for 3(x-4)=-9(x+2)+45 equation: 


Simplifying
3(x + -4) = -9(x + 2) + 45

Reorder the terms:
3(-4 + x) = -9(x + 2) + 45
(-4 * 3 + x * 3) = -9(x + 2) + 45
(-12 + 3x) = -9(x + 2) + 45

Reorder the terms:
-12 + 3x = -9(2 + x) + 45
-12 + 3x = (2 * -9 + x * -9) + 45
-12 + 3x = (-18 + -9x) + 45

Reorder the terms:
-12 + 3x = -18 + 45 + -9x

Combine like terms: -18 + 45 = 27
-12 + 3x = 27 + -9x

Solving
-12 + 3x = 27 + -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.
-12 + 3x + 9x = 27 + -9x + 9x

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

Combine like terms: -9x + 9x = 0
-12 + 12x = 27 + 0
-12 + 12x = 27

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

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

Combine like terms: 27 + 12 = 39
12x = 39

Divide each side by '12'.
x = 3.25

Simplifying
x = 3.25

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