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

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


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

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

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

Remove parenthesis around (-5 + 3x)
-18 + 6x = -5 + 3x

Solving
-18 + 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.
-18 + 6x + -3x = -5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-18 + 3x = -5 + 0
-18 + 3x = -5

Add '18' to each side of the equation.
-18 + 18 + 3x = -5 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = -5 + 18
3x = -5 + 18

Combine like terms: -5 + 18 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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