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

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


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

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

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

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

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

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

Combine like terms: -3x + 3x = 0
6 + 6x = 5 + 0
6 + 6x = 5

Add '-6' to each side of the equation.
6 + -6 + 6x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 5 + -6
6x = 5 + -6

Combine like terms: 5 + -6 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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