3+9(x-4)=3-3(x-5)

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Solution for 3+9(x-4)=3-3(x-5) equation:


Simplifying
3 + 9(x + -4) = 3 + -3(x + -5)

Reorder the terms:
3 + 9(-4 + x) = 3 + -3(x + -5)
3 + (-4 * 9 + x * 9) = 3 + -3(x + -5)
3 + (-36 + 9x) = 3 + -3(x + -5)

Combine like terms: 3 + -36 = -33
-33 + 9x = 3 + -3(x + -5)

Reorder the terms:
-33 + 9x = 3 + -3(-5 + x)
-33 + 9x = 3 + (-5 * -3 + x * -3)
-33 + 9x = 3 + (15 + -3x)

Combine like terms: 3 + 15 = 18
-33 + 9x = 18 + -3x

Solving
-33 + 9x = 18 + -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.
-33 + 9x + 3x = 18 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-33 + 12x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-33 + 12x = 18 + 0
-33 + 12x = 18

Add '33' to each side of the equation.
-33 + 33 + 12x = 18 + 33

Combine like terms: -33 + 33 = 0
0 + 12x = 18 + 33
12x = 18 + 33

Combine like terms: 18 + 33 = 51
12x = 51

Divide each side by '12'.
x = 4.25

Simplifying
x = 4.25

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