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

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


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

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

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

Multiply 2 * 3
6x = 3(x + 5)

Reorder the terms:
6x = 3(5 + x)
6x = (5 * 3 + x * 3)
6x = (15 + 3x)

Solving
6x = 15 + 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.
6x + -3x = 15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
3x = 15 + 3x + -3x

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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