(6x-5)=(3x+10)

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Solution for (6x-5)=(3x+10) equation:


Simplifying
(6x + -5) = (3x + 10)

Reorder the terms:
(-5 + 6x) = (3x + 10)

Remove parenthesis around (-5 + 6x)
-5 + 6x = (3x + 10)

Reorder the terms:
-5 + 6x = (10 + 3x)

Remove parenthesis around (10 + 3x)
-5 + 6x = 10 + 3x

Solving
-5 + 6x = 10 + 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.
-5 + 6x + -3x = 10 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-5 + 3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 3x = 10 + 0
-5 + 3x = 10

Add '5' to each side of the equation.
-5 + 5 + 3x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 10 + 5
3x = 10 + 5

Combine like terms: 10 + 5 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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