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

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


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

Reorder the terms:
5 + -6(-3 + x) = 3x + -5
5 + (-3 * -6 + x * -6) = 3x + -5
5 + (18 + -6x) = 3x + -5

Combine like terms: 5 + 18 = 23
23 + -6x = 3x + -5

Reorder the terms:
23 + -6x = -5 + 3x

Solving
23 + -6x = -5 + 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.
23 + -6x + -3x = -5 + 3x + -3x

Combine like terms: -6x + -3x = -9x
23 + -9x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + -9x = -5 + 0
23 + -9x = -5

Add '-23' to each side of the equation.
23 + -23 + -9x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + -9x = -5 + -23
-9x = -5 + -23

Combine like terms: -5 + -23 = -28
-9x = -28

Divide each side by '-9'.
x = 3.111111111

Simplifying
x = 3.111111111

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