5-6(x-1)=20-3x

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Solution for 5-6(x-1)=20-3x equation:


Simplifying
5 + -6(x + -1) = 20 + -3x

Reorder the terms:
5 + -6(-1 + x) = 20 + -3x
5 + (-1 * -6 + x * -6) = 20 + -3x
5 + (6 + -6x) = 20 + -3x

Combine like terms: 5 + 6 = 11
11 + -6x = 20 + -3x

Solving
11 + -6x = 20 + -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 + -6x + 3x = 20 + -3x + 3x

Combine like terms: -6x + 3x = -3x
11 + -3x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + -3x = 20 + 0
11 + -3x = 20

Add '-11' to each side of the equation.
11 + -11 + -3x = 20 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 20 + -11
-3x = 20 + -11

Combine like terms: 20 + -11 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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