11(x-1)=3(x-9)

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Solution for 11(x-1)=3(x-9) equation: 


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

Reorder the terms:
11(-1 + x) = 3(x + -9)
(-1 * 11 + x * 11) = 3(x + -9)
(-11 + 11x) = 3(x + -9)

Reorder the terms:
-11 + 11x = 3(-9 + x)
-11 + 11x = (-9 * 3 + x * 3)
-11 + 11x = (-27 + 3x)

Solving
-11 + 11x = -27 + 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.
-11 + 11x + -3x = -27 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-11 + 8x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 8x = -27 + 0
-11 + 8x = -27

Add '11' to each side of the equation.
-11 + 11 + 8x = -27 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = -27 + 11
8x = -27 + 11

Combine like terms: -27 + 11 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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