11(x-3)=-6x+1

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Solution for 11(x-3)=-6x+1 equation:


Simplifying
11(x + -3) = -6x + 1

Reorder the terms:
11(-3 + x) = -6x + 1
(-3 * 11 + x * 11) = -6x + 1
(-33 + 11x) = -6x + 1

Reorder the terms:
-33 + 11x = 1 + -6x

Solving
-33 + 11x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-33 + 11x + 6x = 1 + -6x + 6x

Combine like terms: 11x + 6x = 17x
-33 + 17x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-33 + 17x = 1 + 0
-33 + 17x = 1

Add '33' to each side of the equation.
-33 + 33 + 17x = 1 + 33

Combine like terms: -33 + 33 = 0
0 + 17x = 1 + 33
17x = 1 + 33

Combine like terms: 1 + 33 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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