(2x+3)=(5x+15)

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Solution for (2x+3)=(5x+15) equation:


Simplifying
(2x + 3) = (5x + 15)

Reorder the terms:
(3 + 2x) = (5x + 15)

Remove parenthesis around (3 + 2x)
3 + 2x = (5x + 15)

Reorder the terms:
3 + 2x = (15 + 5x)

Remove parenthesis around (15 + 5x)
3 + 2x = 15 + 5x

Solving
3 + 2x = 15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
3 + 2x + -5x = 15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
3 + -3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -3x = 15 + 0
3 + -3x = 15

Add '-3' to each side of the equation.
3 + -3 + -3x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 15 + -3
-3x = 15 + -3

Combine like terms: 15 + -3 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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