3(x-3)=9(x-7)

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Solution for 3(x-3)=9(x-7) equation:


Simplifying
3(x + -3) = 9(x + -7)

Reorder the terms:
3(-3 + x) = 9(x + -7)
(-3 * 3 + x * 3) = 9(x + -7)
(-9 + 3x) = 9(x + -7)

Reorder the terms:
-9 + 3x = 9(-7 + x)
-9 + 3x = (-7 * 9 + x * 9)
-9 + 3x = (-63 + 9x)

Solving
-9 + 3x = -63 + 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 = -63 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-9 + -6x = -63 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + -6x = -63 + 0
-9 + -6x = -63

Add '9' to each side of the equation.
-9 + 9 + -6x = -63 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = -63 + 9
-6x = -63 + 9

Combine like terms: -63 + 9 = -54
-6x = -54

Divide each side by '-6'.
x = 9

Simplifying
x = 9

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