5-3(x-2)=-6x+3

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Solution for 5-3(x-2)=-6x+3 equation: 


Simplifying
5 + -3(x + -2) = -6x + 3

Reorder the terms:
5 + -3(-2 + x) = -6x + 3
5 + (-2 * -3 + x * -3) = -6x + 3
5 + (6 + -3x) = -6x + 3

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

Reorder the terms:
11 + -3x = 3 + -6x

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

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

Combine like terms: -6x + 6x = 0
11 + 3x = 3 + 0
11 + 3x = 3

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

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

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

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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