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

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


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

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

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

Combine like terms: 2 + 3 = 5
5 + 2x = 5(x + 3)

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

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

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

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

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

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

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

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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