3(x-1)=9(x+4)

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Solution for 3(x-1)=9(x+4) equation:


Simplifying
3(x + -1) = 9(x + 4)

Reorder the terms:
3(-1 + x) = 9(x + 4)
(-1 * 3 + x * 3) = 9(x + 4)
(-3 + 3x) = 9(x + 4)

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

Solving
-3 + 3x = 36 + 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.
-3 + 3x + -9x = 36 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-3 + -6x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + -6x = 36 + 0
-3 + -6x = 36

Add '3' to each side of the equation.
-3 + 3 + -6x = 36 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = 36 + 3
-6x = 36 + 3

Combine like terms: 36 + 3 = 39
-6x = 39

Divide each side by '-6'.
x = -6.5

Simplifying
x = -6.5

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