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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 5 + 3 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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