63(x-3)=9(x+3)

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Solution for 63(x-3)=9(x+3) equation:


Simplifying
63(x + -3) = 9(x + 3)

Reorder the terms:
63(-3 + x) = 9(x + 3)
(-3 * 63 + x * 63) = 9(x + 3)
(-189 + 63x) = 9(x + 3)

Reorder the terms:
-189 + 63x = 9(3 + x)
-189 + 63x = (3 * 9 + x * 9)
-189 + 63x = (27 + 9x)

Solving
-189 + 63x = 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.
-189 + 63x + -9x = 27 + 9x + -9x

Combine like terms: 63x + -9x = 54x
-189 + 54x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-189 + 54x = 27 + 0
-189 + 54x = 27

Add '189' to each side of the equation.
-189 + 189 + 54x = 27 + 189

Combine like terms: -189 + 189 = 0
0 + 54x = 27 + 189
54x = 27 + 189

Combine like terms: 27 + 189 = 216
54x = 216

Divide each side by '54'.
x = 4

Simplifying
x = 4

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