(2x+5)=(6x+15)

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Solution for (2x+5)=(6x+15) equation:


Simplifying
(2x + 5) = (6x + 15)

Reorder the terms:
(5 + 2x) = (6x + 15)

Remove parenthesis around (5 + 2x)
5 + 2x = (6x + 15)

Reorder the terms:
5 + 2x = (15 + 6x)

Remove parenthesis around (15 + 6x)
5 + 2x = 15 + 6x

Solving
5 + 2x = 15 + 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.
5 + 2x + -6x = 15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
5 + -4x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -4x = 15 + 0
5 + -4x = 15

Add '-5' to each side of the equation.
5 + -5 + -4x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 15 + -5
-4x = 15 + -5

Combine like terms: 15 + -5 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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